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Finding the Fourth Proportional to 1,144.22, 1,713.57 and 898.17

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Solution

The fourth proportional to 1,144.22, 1,713.57 and 898.17 is: 1,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.22 : 1,713.57 = 898.17 : x
  2. Step 2: Convert to fraction form
    1,144.22/1,713.57 = 898.17/x
  3. Step 3: Cross multiply
    1,144.22x = 1,713.57 × 898.17
  4. Step 4: Simplify right side
    1,144.22x = 1,539,077.17
  5. Step 5: Solve for x
    x = 1,539,077.17/1,144.22
  6. Step 6: Final answer
    x = 1,345.09

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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.