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Finding the Fourth Proportional to 635.65, 874.90 and 542.09

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Solution

The fourth proportional to 635.65, 874.90 and 542.09 is: 746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.65 : 874.90 = 542.09 : x
  2. Step 2: Convert to fraction form
    635.65/874.90 = 542.09/x
  3. Step 3: Cross multiply
    635.65x = 874.90 × 542.09
  4. Step 4: Simplify right side
    635.65x = 474,277.41
  5. Step 5: Solve for x
    x = 474,277.41/635.65
  6. Step 6: Final answer
    x = 746.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.