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Finding the Fourth Proportional to 1,569.82, 2,352.91 and 702.31

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Solution

The fourth proportional to 1,569.82, 2,352.91 and 702.31 is: 1,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.82 : 2,352.91 = 702.31 : x
  2. Step 2: Convert to fraction form
    1,569.82/2,352.91 = 702.31/x
  3. Step 3: Cross multiply
    1,569.82x = 2,352.91 × 702.31
  4. Step 4: Simplify right side
    1,569.82x = 1,652,472.22
  5. Step 5: Solve for x
    x = 1,652,472.22/1,569.82
  6. Step 6: Final answer
    x = 1,052.65

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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.