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Finding the Fourth Proportional to 562.45, 777.14 and 542.74

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Solution

The fourth proportional to 562.45, 777.14 and 542.74 is: 749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.45 : 777.14 = 542.74 : x
  2. Step 2: Convert to fraction form
    562.45/777.14 = 542.74/x
  3. Step 3: Cross multiply
    562.45x = 777.14 × 542.74
  4. Step 4: Simplify right side
    562.45x = 421,784.96
  5. Step 5: Solve for x
    x = 421,784.96/562.45
  6. Step 6: Final answer
    x = 749.91

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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.