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Finding the Fourth Proportional to 542.12, 808.61 and 525.96

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Solution

The fourth proportional to 542.12, 808.61 and 525.96 is: 784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.12 : 808.61 = 525.96 : x
  2. Step 2: Convert to fraction form
    542.12/808.61 = 525.96/x
  3. Step 3: Cross multiply
    542.12x = 808.61 × 525.96
  4. Step 4: Simplify right side
    542.12x = 425,296.52
  5. Step 5: Solve for x
    x = 425,296.52/542.12
  6. Step 6: Final answer
    x = 784.51

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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.