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Finding the Fourth Proportional to 675.42, 932.10 and 423.30

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Solution

The fourth proportional to 675.42, 932.10 and 423.30 is: 584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 932.10 = 423.30 : x
  2. Step 2: Convert to fraction form
    675.42/932.10 = 423.30/x
  3. Step 3: Cross multiply
    675.42x = 932.10 × 423.30
  4. Step 4: Simplify right side
    675.42x = 394,557.93
  5. Step 5: Solve for x
    x = 394,557.93/675.42
  6. Step 6: Final answer
    x = 584.17

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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.