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Finding the Fourth Proportional to 487.61, 669.32 and 431.11

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Solution

The fourth proportional to 487.61, 669.32 and 431.11 is: 591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.61 : 669.32 = 431.11 : x
  2. Step 2: Convert to fraction form
    487.61/669.32 = 431.11/x
  3. Step 3: Cross multiply
    487.61x = 669.32 × 431.11
  4. Step 4: Simplify right side
    487.61x = 288,550.55
  5. Step 5: Solve for x
    x = 288,550.55/487.61
  6. Step 6: Final answer
    x = 591.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.