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Finding the Fourth Proportional to 1,081.95, 1,492.03 and 656.47

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Solution

The fourth proportional to 1,081.95, 1,492.03 and 656.47 is: 905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.95 : 1,492.03 = 656.47 : x
  2. Step 2: Convert to fraction form
    1,081.95/1,492.03 = 656.47/x
  3. Step 3: Cross multiply
    1,081.95x = 1,492.03 × 656.47
  4. Step 4: Simplify right side
    1,081.95x = 979,472.93
  5. Step 5: Solve for x
    x = 979,472.93/1,081.95
  6. Step 6: Final answer
    x = 905.28

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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.