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Finding the Fourth Proportional to 1,108.62, 1,669.32 and 915.48

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Solution

The fourth proportional to 1,108.62, 1,669.32 and 915.48 is: 1,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.62 : 1,669.32 = 915.48 : x
  2. Step 2: Convert to fraction form
    1,108.62/1,669.32 = 915.48/x
  3. Step 3: Cross multiply
    1,108.62x = 1,669.32 × 915.48
  4. Step 4: Simplify right side
    1,108.62x = 1,528,229.07
  5. Step 5: Solve for x
    x = 1,528,229.07/1,108.62
  6. Step 6: Final answer
    x = 1,378.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.