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Finding the Fourth Proportional to 1,323.97, 1,985.55 and 915.73

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Solution

The fourth proportional to 1,323.97, 1,985.55 and 915.73 is: 1,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.97 : 1,985.55 = 915.73 : x
  2. Step 2: Convert to fraction form
    1,323.97/1,985.55 = 915.73/x
  3. Step 3: Cross multiply
    1,323.97x = 1,985.55 × 915.73
  4. Step 4: Simplify right side
    1,323.97x = 1,818,227.70
  5. Step 5: Solve for x
    x = 1,818,227.70/1,323.97
  6. Step 6: Final answer
    x = 1,373.31

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1.5x scale

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.