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Finding the Fourth Proportional to 915.64, 1,371.63 and 550.23

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Solution

The fourth proportional to 915.64, 1,371.63 and 550.23 is: 824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.64 : 1,371.63 = 550.23 : x
  2. Step 2: Convert to fraction form
    915.64/1,371.63 = 550.23/x
  3. Step 3: Cross multiply
    915.64x = 1,371.63 × 550.23
  4. Step 4: Simplify right side
    915.64x = 754,711.97
  5. Step 5: Solve for x
    x = 754,711.97/915.64
  6. Step 6: Final answer
    x = 824.25

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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.