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Finding the Fourth Proportional to 460.98, 691.92 and 375.32

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Solution

The fourth proportional to 460.98, 691.92 and 375.32 is: 563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.98 : 691.92 = 375.32 : x
  2. Step 2: Convert to fraction form
    460.98/691.92 = 375.32/x
  3. Step 3: Cross multiply
    460.98x = 691.92 × 375.32
  4. Step 4: Simplify right side
    460.98x = 259,691.41
  5. Step 5: Solve for x
    x = 259,691.41/460.98
  6. Step 6: Final answer
    x = 563.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.