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Finding the Fourth Proportional to 1,261.57, 1,740.97 and 702.09

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Solution

The fourth proportional to 1,261.57, 1,740.97 and 702.09 is: 968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.57 : 1,740.97 = 702.09 : x
  2. Step 2: Convert to fraction form
    1,261.57/1,740.97 = 702.09/x
  3. Step 3: Cross multiply
    1,261.57x = 1,740.97 × 702.09
  4. Step 4: Simplify right side
    1,261.57x = 1,222,317.63
  5. Step 5: Solve for x
    x = 1,222,317.63/1,261.57
  6. Step 6: Final answer
    x = 968.89

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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.