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Finding the Fourth Proportional to 970.12, 1,454.28 and 320.71

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Solution

The fourth proportional to 970.12, 1,454.28 and 320.71 is: 480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.12 : 1,454.28 = 320.71 : x
  2. Step 2: Convert to fraction form
    970.12/1,454.28 = 320.71/x
  3. Step 3: Cross multiply
    970.12x = 1,454.28 × 320.71
  4. Step 4: Simplify right side
    970.12x = 466,402.14
  5. Step 5: Solve for x
    x = 466,402.14/970.12
  6. Step 6: Final answer
    x = 480.77

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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.