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Finding the Fourth Proportional to 1,060.56, 1,459.92 and 912.36

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Solution

The fourth proportional to 1,060.56, 1,459.92 and 912.36 is: 1,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.56 : 1,459.92 = 912.36 : x
  2. Step 2: Convert to fraction form
    1,060.56/1,459.92 = 912.36/x
  3. Step 3: Cross multiply
    1,060.56x = 1,459.92 × 912.36
  4. Step 4: Simplify right side
    1,060.56x = 1,331,972.61
  5. Step 5: Solve for x
    x = 1,331,972.61/1,060.56
  6. Step 6: Final answer
    x = 1,255.91

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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.