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Finding the Fourth Proportional to 970.25, 1,455.57 and 422.42

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Solution

The fourth proportional to 970.25, 1,455.57 and 422.42 is: 633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.25 : 1,455.57 = 422.42 : x
  2. Step 2: Convert to fraction form
    970.25/1,455.57 = 422.42/x
  3. Step 3: Cross multiply
    970.25x = 1,455.57 × 422.42
  4. Step 4: Simplify right side
    970.25x = 614,854.60
  5. Step 5: Solve for x
    x = 614,854.60/970.25
  6. Step 6: Final answer
    x = 633.71

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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.