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Finding the Fourth Proportional to 970.29, 1,455.09 and 422.34

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Solution

The fourth proportional to 970.29, 1,455.09 and 422.34 is: 633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.29 : 1,455.09 = 422.34 : x
  2. Step 2: Convert to fraction form
    970.29/1,455.09 = 422.34/x
  3. Step 3: Cross multiply
    970.29x = 1,455.09 × 422.34
  4. Step 4: Simplify right side
    970.29x = 614,542.71
  5. Step 5: Solve for x
    x = 614,542.71/970.29
  6. Step 6: Final answer
    x = 633.36

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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.