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Finding the Fourth Proportional to 621.32, 929.61 and 543.71

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Solution

The fourth proportional to 621.32, 929.61 and 543.71 is: 813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.32 : 929.61 = 543.71 : x
  2. Step 2: Convert to fraction form
    621.32/929.61 = 543.71/x
  3. Step 3: Cross multiply
    621.32x = 929.61 × 543.71
  4. Step 4: Simplify right side
    621.32x = 505,438.25
  5. Step 5: Solve for x
    x = 505,438.25/621.32
  6. Step 6: Final answer
    x = 813.49

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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.