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Finding the Fourth Proportional to 542.16, 808.92 and 529.70

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Solution

The fourth proportional to 542.16, 808.92 and 529.70 is: 790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 808.92 = 529.70 : x
  2. Step 2: Convert to fraction form
    542.16/808.92 = 529.70/x
  3. Step 3: Cross multiply
    542.16x = 808.92 × 529.70
  4. Step 4: Simplify right side
    542.16x = 428,480.88
  5. Step 5: Solve for x
    x = 428,480.88/542.16
  6. Step 6: Final answer
    x = 790.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.