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Finding the Fourth Proportional to 1,104.43, 1,656.87 and 898.49

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Solution

The fourth proportional to 1,104.43, 1,656.87 and 898.49 is: 1,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.43 : 1,656.87 = 898.49 : x
  2. Step 2: Convert to fraction form
    1,104.43/1,656.87 = 898.49/x
  3. Step 3: Cross multiply
    1,104.43x = 1,656.87 × 898.49
  4. Step 4: Simplify right side
    1,104.43x = 1,488,681.13
  5. Step 5: Solve for x
    x = 1,488,681.13/1,104.43
  6. Step 6: Final answer
    x = 1,347.92

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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.