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Finding the Fourth Proportional to 577.14, 794.70 and 542.28

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Solution

The fourth proportional to 577.14, 794.70 and 542.28 is: 746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.14 : 794.70 = 542.28 : x
  2. Step 2: Convert to fraction form
    577.14/794.70 = 542.28/x
  3. Step 3: Cross multiply
    577.14x = 794.70 × 542.28
  4. Step 4: Simplify right side
    577.14x = 430,949.92
  5. Step 5: Solve for x
    x = 430,949.92/577.14
  6. Step 6: Final answer
    x = 746.70

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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.