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Finding the Fourth Proportional to 970.08, 1,454.45 and 449.79

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Solution

The fourth proportional to 970.08, 1,454.45 and 449.79 is: 674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.08 : 1,454.45 = 449.79 : x
  2. Step 2: Convert to fraction form
    970.08/1,454.45 = 449.79/x
  3. Step 3: Cross multiply
    970.08x = 1,454.45 × 449.79
  4. Step 4: Simplify right side
    970.08x = 654,194.82
  5. Step 5: Solve for x
    x = 654,194.82/970.08
  6. Step 6: Final answer
    x = 674.37

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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.