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Finding the Fourth Proportional to 702.60, 969.16 and 466.56

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Solution

The fourth proportional to 702.60, 969.16 and 466.56 is: 643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.60 : 969.16 = 466.56 : x
  2. Step 2: Convert to fraction form
    702.60/969.16 = 466.56/x
  3. Step 3: Cross multiply
    702.60x = 969.16 × 466.56
  4. Step 4: Simplify right side
    702.60x = 452,171.29
  5. Step 5: Solve for x
    x = 452,171.29/702.60
  6. Step 6: Final answer
    x = 643.57

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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.