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Finding the Fourth Proportional to 1,446.95, 1,997.07 and 915.75

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Solution

The fourth proportional to 1,446.95, 1,997.07 and 915.75 is: 1,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.95 : 1,997.07 = 915.75 : x
  2. Step 2: Convert to fraction form
    1,446.95/1,997.07 = 915.75/x
  3. Step 3: Cross multiply
    1,446.95x = 1,997.07 × 915.75
  4. Step 4: Simplify right side
    1,446.95x = 1,828,816.85
  5. Step 5: Solve for x
    x = 1,828,816.85/1,446.95
  6. Step 6: Final answer
    x = 1,263.92

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1.5x scale

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.