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Finding the Fourth Proportional to 561.10, 840.10 and 423.74

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Solution

The fourth proportional to 561.10, 840.10 and 423.74 is: 634.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.10 : 840.10 = 423.74 : x
  2. Step 2: Convert to fraction form
    561.10/840.10 = 423.74/x
  3. Step 3: Cross multiply
    561.10x = 840.10 × 423.74
  4. Step 4: Simplify right side
    561.10x = 355,983.97
  5. Step 5: Solve for x
    x = 355,983.97/561.10
  6. Step 6: Final answer
    x = 634.44

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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.