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Finding the Fourth Proportional to 658.04, 985.98 and 485.06

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Solution

The fourth proportional to 658.04, 985.98 and 485.06 is: 726.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.04 : 985.98 = 485.06 : x
  2. Step 2: Convert to fraction form
    658.04/985.98 = 485.06/x
  3. Step 3: Cross multiply
    658.04x = 985.98 × 485.06
  4. Step 4: Simplify right side
    658.04x = 478,259.46
  5. Step 5: Solve for x
    x = 478,259.46/658.04
  6. Step 6: Final answer
    x = 726.79

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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.