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Finding the Fourth Proportional to 1,439.95, 1,987.44 and 915.88

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Solution

The fourth proportional to 1,439.95, 1,987.44 and 915.88 is: 1,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.95 : 1,987.44 = 915.88 : x
  2. Step 2: Convert to fraction form
    1,439.95/1,987.44 = 915.88/x
  3. Step 3: Cross multiply
    1,439.95x = 1,987.44 × 915.88
  4. Step 4: Simplify right side
    1,439.95x = 1,820,246.61
  5. Step 5: Solve for x
    x = 1,820,246.61/1,439.95
  6. Step 6: Final answer
    x = 1,264.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.