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Finding the Fourth Proportional to 674.26, 932.20 and 509.32

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Solution

The fourth proportional to 674.26, 932.20 and 509.32 is: 704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.26 : 932.20 = 509.32 : x
  2. Step 2: Convert to fraction form
    674.26/932.20 = 509.32/x
  3. Step 3: Cross multiply
    674.26x = 932.20 × 509.32
  4. Step 4: Simplify right side
    674.26x = 474,788.10
  5. Step 5: Solve for x
    x = 474,788.10/674.26
  6. Step 6: Final answer
    x = 704.16

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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.