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Finding the Fourth Proportional to 674.54, 929.72 and 475.46

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Solution

The fourth proportional to 674.54, 929.72 and 475.46 is: 655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.54 : 929.72 = 475.46 : x
  2. Step 2: Convert to fraction form
    674.54/929.72 = 475.46/x
  3. Step 3: Cross multiply
    674.54x = 929.72 × 475.46
  4. Step 4: Simplify right side
    674.54x = 442,041.21
  5. Step 5: Solve for x
    x = 442,041.21/674.54
  6. Step 6: Final answer
    x = 655.32

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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.