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Finding the Fourth Proportional to 477.62, 716.31 and 152.91

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Solution

The fourth proportional to 477.62, 716.31 and 152.91 is: 229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.62 : 716.31 = 152.91 : x
  2. Step 2: Convert to fraction form
    477.62/716.31 = 152.91/x
  3. Step 3: Cross multiply
    477.62x = 716.31 × 152.91
  4. Step 4: Simplify right side
    477.62x = 109,530.96
  5. Step 5: Solve for x
    x = 109,530.96/477.62
  6. Step 6: Final answer
    x = 229.33

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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.