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Finding the Fourth Proportional to 867.52, 1,300.38 and 542.14

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Solution

The fourth proportional to 867.52, 1,300.38 and 542.14 is: 812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.52 : 1,300.38 = 542.14 : x
  2. Step 2: Convert to fraction form
    867.52/1,300.38 = 542.14/x
  3. Step 3: Cross multiply
    867.52x = 1,300.38 × 542.14
  4. Step 4: Simplify right side
    867.52x = 704,988.01
  5. Step 5: Solve for x
    x = 704,988.01/867.52
  6. Step 6: Final answer
    x = 812.65

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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.