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Finding the Fourth Proportional to 702.34, 969.17 and 403.59

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Solution

The fourth proportional to 702.34, 969.17 and 403.59 is: 556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.34 : 969.17 = 403.59 : x
  2. Step 2: Convert to fraction form
    702.34/969.17 = 403.59/x
  3. Step 3: Cross multiply
    702.34x = 969.17 × 403.59
  4. Step 4: Simplify right side
    702.34x = 391,147.32
  5. Step 5: Solve for x
    x = 391,147.32/702.34
  6. Step 6: Final answer
    x = 556.92

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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.