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Finding the Fourth Proportional to 917.60, 1,374.57 and 552.22

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Solution

The fourth proportional to 917.60, 1,374.57 and 552.22 is: 827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.60 : 1,374.57 = 552.22 : x
  2. Step 2: Convert to fraction form
    917.60/1,374.57 = 552.22/x
  3. Step 3: Cross multiply
    917.60x = 1,374.57 × 552.22
  4. Step 4: Simplify right side
    917.60x = 759,061.61
  5. Step 5: Solve for x
    x = 759,061.61/917.60
  6. Step 6: Final answer
    x = 827.23

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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.