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Finding the Fourth Proportional to 1,010.40, 1,504.98 and 963

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Solution

The fourth proportional to 1,010.40, 1,504.98 and 963 is: 1,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.40 : 1,504.98 = 963 : x
  2. Step 2: Convert to fraction form
    1,010.40/1,504.98 = 963/x
  3. Step 3: Cross multiply
    1,010.40x = 1,504.98 × 963
  4. Step 4: Simplify right side
    1,010.40x = 1,449,295.74
  5. Step 5: Solve for x
    x = 1,449,295.74/1,010.40
  6. Step 6: Final answer
    x = 1,434.38

Related Problems

Find fourth proportional to 505.20, 752.49 and 481.50
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.