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Finding the Fourth Proportional to 702.82, 970.54 and 454.72

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Solution

The fourth proportional to 702.82, 970.54 and 454.72 is: 627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.82 : 970.54 = 454.72 : x
  2. Step 2: Convert to fraction form
    702.82/970.54 = 454.72/x
  3. Step 3: Cross multiply
    702.82x = 970.54 × 454.72
  4. Step 4: Simplify right side
    702.82x = 441,323.95
  5. Step 5: Solve for x
    x = 441,323.95/702.82
  6. Step 6: Final answer
    x = 627.93

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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.