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Finding the Fourth Proportional to 917.71, 1,375.65 and 506.43

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Solution

The fourth proportional to 917.71, 1,375.65 and 506.43 is: 759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.71 : 1,375.65 = 506.43 : x
  2. Step 2: Convert to fraction form
    917.71/1,375.65 = 506.43/x
  3. Step 3: Cross multiply
    917.71x = 1,375.65 × 506.43
  4. Step 4: Simplify right side
    917.71x = 696,670.43
  5. Step 5: Solve for x
    x = 696,670.43/917.71
  6. Step 6: Final answer
    x = 759.14

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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.