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Finding the Fourth Proportional to 1,227.01, 1,693.08 and 702.94

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Solution

The fourth proportional to 1,227.01, 1,693.08 and 702.94 is: 969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.01 : 1,693.08 = 702.94 : x
  2. Step 2: Convert to fraction form
    1,227.01/1,693.08 = 702.94/x
  3. Step 3: Cross multiply
    1,227.01x = 1,693.08 × 702.94
  4. Step 4: Simplify right side
    1,227.01x = 1,190,129.42
  5. Step 5: Solve for x
    x = 1,190,129.42/1,227.01
  6. Step 6: Final answer
    x = 969.94

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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.