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Finding the Fourth Proportional to 542.95, 749.70 and 385.93

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Solution

The fourth proportional to 542.95, 749.70 and 385.93 is: 532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.95 : 749.70 = 385.93 : x
  2. Step 2: Convert to fraction form
    542.95/749.70 = 385.93/x
  3. Step 3: Cross multiply
    542.95x = 749.70 × 385.93
  4. Step 4: Simplify right side
    542.95x = 289,331.72
  5. Step 5: Solve for x
    x = 289,331.72/542.95
  6. Step 6: Final answer
    x = 532.89

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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.