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Finding the Fourth Proportional to 559.85, 840.06 and 439.16

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Solution

The fourth proportional to 559.85, 840.06 and 439.16 is: 658.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.85 : 840.06 = 439.16 : x
  2. Step 2: Convert to fraction form
    559.85/840.06 = 439.16/x
  3. Step 3: Cross multiply
    559.85x = 840.06 × 439.16
  4. Step 4: Simplify right side
    559.85x = 368,916.55
  5. Step 5: Solve for x
    x = 368,916.55/559.85
  6. Step 6: Final answer
    x = 658.96

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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.