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Finding the Fourth Proportional to 1,689.18, 2,532.04 and 702.57

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Solution

The fourth proportional to 1,689.18, 2,532.04 and 702.57 is: 1,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.18 : 2,532.04 = 702.57 : x
  2. Step 2: Convert to fraction form
    1,689.18/2,532.04 = 702.57/x
  3. Step 3: Cross multiply
    1,689.18x = 2,532.04 × 702.57
  4. Step 4: Simplify right side
    1,689.18x = 1,778,928.84
  5. Step 5: Solve for x
    x = 1,778,928.84/1,689.18
  6. Step 6: Final answer
    x = 1,053.13

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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.