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Finding the Fourth Proportional to 736.50, 1,016.10 and 456.78

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Solution

The fourth proportional to 736.50, 1,016.10 and 456.78 is: 630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.50 : 1,016.10 = 456.78 : x
  2. Step 2: Convert to fraction form
    736.50/1,016.10 = 456.78/x
  3. Step 3: Cross multiply
    736.50x = 1,016.10 × 456.78
  4. Step 4: Simplify right side
    736.50x = 464,134.16
  5. Step 5: Solve for x
    x = 464,134.16/736.50
  6. Step 6: Final answer
    x = 630.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.