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Finding the Fourth Proportional to 970.73, 1,456.67 and 422.90

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Solution

The fourth proportional to 970.73, 1,456.67 and 422.90 is: 634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.73 : 1,456.67 = 422.90 : x
  2. Step 2: Convert to fraction form
    970.73/1,456.67 = 422.90/x
  3. Step 3: Cross multiply
    970.73x = 1,456.67 × 422.90
  4. Step 4: Simplify right side
    970.73x = 616,025.74
  5. Step 5: Solve for x
    x = 616,025.74/970.73
  6. Step 6: Final answer
    x = 634.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.