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Finding the Fourth Proportional to 669.60, 1,005.84 and 561.60

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Solution

The fourth proportional to 669.60, 1,005.84 and 561.60 is: 843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.60 : 1,005.84 = 561.60 : x
  2. Step 2: Convert to fraction form
    669.60/1,005.84 = 561.60/x
  3. Step 3: Cross multiply
    669.60x = 1,005.84 × 561.60
  4. Step 4: Simplify right side
    669.60x = 564,879.74
  5. Step 5: Solve for x
    x = 564,879.74/669.60
  6. Step 6: Final answer
    x = 843.61

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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.