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Finding the Fourth Proportional to 1,689.56, 2,530.92 and 865.40

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Solution

The fourth proportional to 1,689.56, 2,530.92 and 865.40 is: 1,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.56 : 2,530.92 = 865.40 : x
  2. Step 2: Convert to fraction form
    1,689.56/2,530.92 = 865.40/x
  3. Step 3: Cross multiply
    1,689.56x = 2,530.92 × 865.40
  4. Step 4: Simplify right side
    1,689.56x = 2,190,258.17
  5. Step 5: Solve for x
    x = 2,190,258.17/1,689.56
  6. Step 6: Final answer
    x = 1,296.35

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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.