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Finding the Fourth Proportional to 562.95, 777.33 and 542.70

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Solution

The fourth proportional to 562.95, 777.33 and 542.70 is: 749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.95 : 777.33 = 542.70 : x
  2. Step 2: Convert to fraction form
    562.95/777.33 = 542.70/x
  3. Step 3: Cross multiply
    562.95x = 777.33 × 542.70
  4. Step 4: Simplify right side
    562.95x = 421,856.99
  5. Step 5: Solve for x
    x = 421,856.99/562.95
  6. Step 6: Final answer
    x = 749.37

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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.