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Finding the Fourth Proportional to 915.49, 1,371.21 and 586.63

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Solution

The fourth proportional to 915.49, 1,371.21 and 586.63 is: 878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.49 : 1,371.21 = 586.63 : x
  2. Step 2: Convert to fraction form
    915.49/1,371.21 = 586.63/x
  3. Step 3: Cross multiply
    915.49x = 1,371.21 × 586.63
  4. Step 4: Simplify right side
    915.49x = 804,392.92
  5. Step 5: Solve for x
    x = 804,392.92/915.49
  6. Step 6: Final answer
    x = 878.65

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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.