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Finding the Fourth Proportional to 542.22, 808.49 and 532.50

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Solution

The fourth proportional to 542.22, 808.49 and 532.50 is: 794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.22 : 808.49 = 532.50 : x
  2. Step 2: Convert to fraction form
    542.22/808.49 = 532.50/x
  3. Step 3: Cross multiply
    542.22x = 808.49 × 532.50
  4. Step 4: Simplify right side
    542.22x = 430,520.93
  5. Step 5: Solve for x
    x = 430,520.93/542.22
  6. Step 6: Final answer
    x = 794.00

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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.