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Finding the Fourth Proportional to 1,291.87, 1,782.77 and 702.40

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Solution

The fourth proportional to 1,291.87, 1,782.77 and 702.40 is: 969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.87 : 1,782.77 = 702.40 : x
  2. Step 2: Convert to fraction form
    1,291.87/1,782.77 = 702.40/x
  3. Step 3: Cross multiply
    1,291.87x = 1,782.77 × 702.40
  4. Step 4: Simplify right side
    1,291.87x = 1,252,217.65
  5. Step 5: Solve for x
    x = 1,252,217.65/1,291.87
  6. Step 6: Final answer
    x = 969.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.