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Finding the Fourth Proportional to 659.46, 987.98 and 586.56

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Solution

The fourth proportional to 659.46, 987.98 and 586.56 is: 878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.46 : 987.98 = 586.56 : x
  2. Step 2: Convert to fraction form
    659.46/987.98 = 586.56/x
  3. Step 3: Cross multiply
    659.46x = 987.98 × 586.56
  4. Step 4: Simplify right side
    659.46x = 579,506.62
  5. Step 5: Solve for x
    x = 579,506.62/659.46
  6. Step 6: Final answer
    x = 878.76

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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.