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Finding the Fourth Proportional to 542.36, 808.01 and 515.70

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Solution

The fourth proportional to 542.36, 808.01 and 515.70 is: 768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.36 : 808.01 = 515.70 : x
  2. Step 2: Convert to fraction form
    542.36/808.01 = 515.70/x
  3. Step 3: Cross multiply
    542.36x = 808.01 × 515.70
  4. Step 4: Simplify right side
    542.36x = 416,690.11
  5. Step 5: Solve for x
    x = 416,690.11/542.36
  6. Step 6: Final answer
    x = 768.29

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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.