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Finding the Fourth Proportional to 586.62, 878.31 and 442.98

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Solution

The fourth proportional to 586.62, 878.31 and 442.98 is: 663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.62 : 878.31 = 442.98 : x
  2. Step 2: Convert to fraction form
    586.62/878.31 = 442.98/x
  3. Step 3: Cross multiply
    586.62x = 878.31 × 442.98
  4. Step 4: Simplify right side
    586.62x = 389,073.76
  5. Step 5: Solve for x
    x = 389,073.76/586.62
  6. Step 6: Final answer
    x = 663.25

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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.