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Finding the Fourth Proportional to 1,712.25, 2,569.08 and 891.11

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Solution

The fourth proportional to 1,712.25, 2,569.08 and 891.11 is: 1,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.25 : 2,569.08 = 891.11 : x
  2. Step 2: Convert to fraction form
    1,712.25/2,569.08 = 891.11/x
  3. Step 3: Cross multiply
    1,712.25x = 2,569.08 × 891.11
  4. Step 4: Simplify right side
    1,712.25x = 2,289,320.03
  5. Step 5: Solve for x
    x = 2,289,320.03/1,712.25
  6. Step 6: Final answer
    x = 1,337.02

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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.