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Finding the Fourth Proportional to 542.89, 815.15 and 534.79

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Solution

The fourth proportional to 542.89, 815.15 and 534.79 is: 802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.89 : 815.15 = 534.79 : x
  2. Step 2: Convert to fraction form
    542.89/815.15 = 534.79/x
  3. Step 3: Cross multiply
    542.89x = 815.15 × 534.79
  4. Step 4: Simplify right side
    542.89x = 435,934.07
  5. Step 5: Solve for x
    x = 435,934.07/542.89
  6. Step 6: Final answer
    x = 802.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.