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Finding the Fourth Proportional to 1,647.48, 2,471.22 and 963

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Solution

The fourth proportional to 1,647.48, 2,471.22 and 963 is: 1,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.48 : 2,471.22 = 963 : x
  2. Step 2: Convert to fraction form
    1,647.48/2,471.22 = 963/x
  3. Step 3: Cross multiply
    1,647.48x = 2,471.22 × 963
  4. Step 4: Simplify right side
    1,647.48x = 2,379,784.86
  5. Step 5: Solve for x
    x = 2,379,784.86/1,647.48
  6. Step 6: Final answer
    x = 1,444.50

Related Problems

Find fourth proportional to 823.74, 1,235.61 and 481.50
Half scale
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Double scale
Find fourth proportional to 1,648.48, 2,472.72 and 964
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.