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Finding the Fourth Proportional to 586.16, 878.40 and 329.12

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Solution

The fourth proportional to 586.16, 878.40 and 329.12 is: 493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.16 : 878.40 = 329.12 : x
  2. Step 2: Convert to fraction form
    586.16/878.40 = 329.12/x
  3. Step 3: Cross multiply
    586.16x = 878.40 × 329.12
  4. Step 4: Simplify right side
    586.16x = 289,099.01
  5. Step 5: Solve for x
    x = 289,099.01/586.16
  6. Step 6: Final answer
    x = 493.21

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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.