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Finding the Fourth Proportional to 736.34, 1,016.94 and 457.24

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Solution

The fourth proportional to 736.34, 1,016.94 and 457.24 is: 631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.34 : 1,016.94 = 457.24 : x
  2. Step 2: Convert to fraction form
    736.34/1,016.94 = 457.24/x
  3. Step 3: Cross multiply
    736.34x = 1,016.94 × 457.24
  4. Step 4: Simplify right side
    736.34x = 464,983.10
  5. Step 5: Solve for x
    x = 464,983.10/736.34
  6. Step 6: Final answer
    x = 631.48

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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.