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Finding the Fourth Proportional to 1,647.74, 2,471.37 and 621.50

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Solution

The fourth proportional to 1,647.74, 2,471.37 and 621.50 is: 932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.74 : 2,471.37 = 621.50 : x
  2. Step 2: Convert to fraction form
    1,647.74/2,471.37 = 621.50/x
  3. Step 3: Cross multiply
    1,647.74x = 2,471.37 × 621.50
  4. Step 4: Simplify right side
    1,647.74x = 1,535,956.46
  5. Step 5: Solve for x
    x = 1,535,956.46/1,647.74
  6. Step 6: Final answer
    x = 932.16

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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.