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Finding the Fourth Proportional to 560.54, 777.29 and 542.12

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Solution

The fourth proportional to 560.54, 777.29 and 542.12 is: 751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.54 : 777.29 = 542.12 : x
  2. Step 2: Convert to fraction form
    560.54/777.29 = 542.12/x
  3. Step 3: Cross multiply
    560.54x = 777.29 × 542.12
  4. Step 4: Simplify right side
    560.54x = 421,377.86
  5. Step 5: Solve for x
    x = 421,377.86/560.54
  6. Step 6: Final answer
    x = 751.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.