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Finding the Fourth Proportional to 658.07, 986.90 and 542.22

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Solution

The fourth proportional to 658.07, 986.90 and 542.22 is: 813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.07 : 986.90 = 542.22 : x
  2. Step 2: Convert to fraction form
    658.07/986.90 = 542.22/x
  3. Step 3: Cross multiply
    658.07x = 986.90 × 542.22
  4. Step 4: Simplify right side
    658.07x = 535,118.03
  5. Step 5: Solve for x
    x = 535,118.03/658.07
  6. Step 6: Final answer
    x = 813.17

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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.