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Finding the Fourth Proportional to 702.82, 970.31 and 466.70

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Solution

The fourth proportional to 702.82, 970.31 and 466.70 is: 644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.82 : 970.31 = 466.70 : x
  2. Step 2: Convert to fraction form
    702.82/970.31 = 466.70/x
  3. Step 3: Cross multiply
    702.82x = 970.31 × 466.70
  4. Step 4: Simplify right side
    702.82x = 452,843.77
  5. Step 5: Solve for x
    x = 452,843.77/702.82
  6. Step 6: Final answer
    x = 644.33

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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.