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Finding the Fourth Proportional to 542.16, 809.73 and 469.26

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Solution

The fourth proportional to 542.16, 809.73 and 469.26 is: 700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 809.73 = 469.26 : x
  2. Step 2: Convert to fraction form
    542.16/809.73 = 469.26/x
  3. Step 3: Cross multiply
    542.16x = 809.73 × 469.26
  4. Step 4: Simplify right side
    542.16x = 379,973.90
  5. Step 5: Solve for x
    x = 379,973.90/542.16
  6. Step 6: Final answer
    x = 700.85

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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.