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Finding the Fourth Proportional to 561.12, 840.24 and 469.32

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Solution

The fourth proportional to 561.12, 840.24 and 469.32 is: 702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 840.24 = 469.32 : x
  2. Step 2: Convert to fraction form
    561.12/840.24 = 469.32/x
  3. Step 3: Cross multiply
    561.12x = 840.24 × 469.32
  4. Step 4: Simplify right side
    561.12x = 394,341.44
  5. Step 5: Solve for x
    x = 394,341.44/561.12
  6. Step 6: Final answer
    x = 702.78

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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.