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Finding the Fourth Proportional to 967.90, 1,335.74 and 542.55

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Solution

The fourth proportional to 967.90, 1,335.74 and 542.55 is: 748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.90 : 1,335.74 = 542.55 : x
  2. Step 2: Convert to fraction form
    967.90/1,335.74 = 542.55/x
  3. Step 3: Cross multiply
    967.90x = 1,335.74 × 542.55
  4. Step 4: Simplify right side
    967.90x = 724,703.02
  5. Step 5: Solve for x
    x = 724,703.02/967.90
  6. Step 6: Final answer
    x = 748.74

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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.