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Finding the Fourth Proportional to 970.13, 1,454.93 and 320.78

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Solution

The fourth proportional to 970.13, 1,454.93 and 320.78 is: 481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.13 : 1,454.93 = 320.78 : x
  2. Step 2: Convert to fraction form
    970.13/1,454.93 = 320.78/x
  3. Step 3: Cross multiply
    970.13x = 1,454.93 × 320.78
  4. Step 4: Simplify right side
    970.13x = 466,715.68
  5. Step 5: Solve for x
    x = 466,715.68/970.13
  6. Step 6: Final answer
    x = 481.08

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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.