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Finding the Fourth Proportional to 658.06, 982.46 and 503.17

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Solution

The fourth proportional to 658.06, 982.46 and 503.17 is: 751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.06 : 982.46 = 503.17 : x
  2. Step 2: Convert to fraction form
    658.06/982.46 = 503.17/x
  3. Step 3: Cross multiply
    658.06x = 982.46 × 503.17
  4. Step 4: Simplify right side
    658.06x = 494,344.40
  5. Step 5: Solve for x
    x = 494,344.40/658.06
  6. Step 6: Final answer
    x = 751.21

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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.