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Finding the Fourth Proportional to 675.89, 932.54 and 424.03

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Solution

The fourth proportional to 675.89, 932.54 and 424.03 is: 585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.89 : 932.54 = 424.03 : x
  2. Step 2: Convert to fraction form
    675.89/932.54 = 424.03/x
  3. Step 3: Cross multiply
    675.89x = 932.54 × 424.03
  4. Step 4: Simplify right side
    675.89x = 395,420.48
  5. Step 5: Solve for x
    x = 395,420.48/675.89
  6. Step 6: Final answer
    x = 585.03

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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.