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Finding the Fourth Proportional to 970, 1,453.28 and 622.52

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Solution

The fourth proportional to 970, 1,453.28 and 622.52 is: 932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    970 : 1,453.28 = 622.52 : x
  2. Step 2: Convert to fraction form
    970/1,453.28 = 622.52/x
  3. Step 3: Cross multiply
    970x = 1,453.28 × 622.52
  4. Step 4: Simplify right side
    970x = 904,695.87
  5. Step 5: Solve for x
    x = 904,695.87/970
  6. Step 6: Final answer
    x = 932.68

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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.