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Finding the Fourth Proportional to 561.55, 840.84 and 439.24

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Solution

The fourth proportional to 561.55, 840.84 and 439.24 is: 657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.55 : 840.84 = 439.24 : x
  2. Step 2: Convert to fraction form
    561.55/840.84 = 439.24/x
  3. Step 3: Cross multiply
    561.55x = 840.84 × 439.24
  4. Step 4: Simplify right side
    561.55x = 369,330.56
  5. Step 5: Solve for x
    x = 369,330.56/561.55
  6. Step 6: Final answer
    x = 657.70

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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.