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Finding the Fourth Proportional to 1,174.55, 1,620.87 and 702.65

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Solution

The fourth proportional to 1,174.55, 1,620.87 and 702.65 is: 969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.55 : 1,620.87 = 702.65 : x
  2. Step 2: Convert to fraction form
    1,174.55/1,620.87 = 702.65/x
  3. Step 3: Cross multiply
    1,174.55x = 1,620.87 × 702.65
  4. Step 4: Simplify right side
    1,174.55x = 1,138,904.31
  5. Step 5: Solve for x
    x = 1,138,904.31/1,174.55
  6. Step 6: Final answer
    x = 969.65

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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.