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Finding the Fourth Proportional to 675.92, 932.98 and 423.98

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Solution

The fourth proportional to 675.92, 932.98 and 423.98 is: 585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.92 : 932.98 = 423.98 : x
  2. Step 2: Convert to fraction form
    675.92/932.98 = 423.98/x
  3. Step 3: Cross multiply
    675.92x = 932.98 × 423.98
  4. Step 4: Simplify right side
    675.92x = 395,564.86
  5. Step 5: Solve for x
    x = 395,564.86/675.92
  6. Step 6: Final answer
    x = 585.22

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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.