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Finding the Fourth Proportional to 736.76, 1,016.56 and 475.14

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Solution

The fourth proportional to 736.76, 1,016.56 and 475.14 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.76 : 1,016.56 = 475.14 : x
  2. Step 2: Convert to fraction form
    736.76/1,016.56 = 475.14/x
  3. Step 3: Cross multiply
    736.76x = 1,016.56 × 475.14
  4. Step 4: Simplify right side
    736.76x = 483,008.32
  5. Step 5: Solve for x
    x = 483,008.32/736.76
  6. Step 6: Final answer
    x = 655.58

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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.