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Finding the Fourth Proportional to 913.13, 1,259.11 and 702.84

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Solution

The fourth proportional to 913.13, 1,259.11 and 702.84 is: 969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.13 : 1,259.11 = 702.84 : x
  2. Step 2: Convert to fraction form
    913.13/1,259.11 = 702.84/x
  3. Step 3: Cross multiply
    913.13x = 1,259.11 × 702.84
  4. Step 4: Simplify right side
    913.13x = 884,952.87
  5. Step 5: Solve for x
    x = 884,952.87/913.13
  6. Step 6: Final answer
    x = 969.14

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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.