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Finding the Fourth Proportional to 1,712.52, 2,564.01 and 889.02

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Solution

The fourth proportional to 1,712.52, 2,564.01 and 889.02 is: 1,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.52 : 2,564.01 = 889.02 : x
  2. Step 2: Convert to fraction form
    1,712.52/2,564.01 = 889.02/x
  3. Step 3: Cross multiply
    1,712.52x = 2,564.01 × 889.02
  4. Step 4: Simplify right side
    1,712.52x = 2,279,456.17
  5. Step 5: Solve for x
    x = 2,279,456.17/1,712.52
  6. Step 6: Final answer
    x = 1,331.05

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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.