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Finding the Fourth Proportional to 917.32, 1,374.46 and 592.40

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Solution

The fourth proportional to 917.32, 1,374.46 and 592.40 is: 887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.32 : 1,374.46 = 592.40 : x
  2. Step 2: Convert to fraction form
    917.32/1,374.46 = 592.40/x
  3. Step 3: Cross multiply
    917.32x = 1,374.46 × 592.40
  4. Step 4: Simplify right side
    917.32x = 814,230.10
  5. Step 5: Solve for x
    x = 814,230.10/917.32
  6. Step 6: Final answer
    x = 887.62

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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.