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Finding the Fourth Proportional to 702.60, 969.17 and 440.16

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Solution

The fourth proportional to 702.60, 969.17 and 440.16 is: 607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.60 : 969.17 = 440.16 : x
  2. Step 2: Convert to fraction form
    702.60/969.17 = 440.16/x
  3. Step 3: Cross multiply
    702.60x = 969.17 × 440.16
  4. Step 4: Simplify right side
    702.60x = 426,589.87
  5. Step 5: Solve for x
    x = 426,589.87/702.60
  6. Step 6: Final answer
    x = 607.16

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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.