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Finding the Fourth Proportional to 970.28, 1,454.34 and 393.08

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Solution

The fourth proportional to 970.28, 1,454.34 and 393.08 is: 589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.28 : 1,454.34 = 393.08 : x
  2. Step 2: Convert to fraction form
    970.28/1,454.34 = 393.08/x
  3. Step 3: Cross multiply
    970.28x = 1,454.34 × 393.08
  4. Step 4: Simplify right side
    970.28x = 571,671.97
  5. Step 5: Solve for x
    x = 571,671.97/970.28
  6. Step 6: Final answer
    x = 589.18

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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.