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Finding the Fourth Proportional to 577.92, 797.64 and 542.76

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Solution

The fourth proportional to 577.92, 797.64 and 542.76 is: 749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.92 : 797.64 = 542.76 : x
  2. Step 2: Convert to fraction form
    577.92/797.64 = 542.76/x
  3. Step 3: Cross multiply
    577.92x = 797.64 × 542.76
  4. Step 4: Simplify right side
    577.92x = 432,923.10
  5. Step 5: Solve for x
    x = 432,923.10/577.92
  6. Step 6: Final answer
    x = 749.11

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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.