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Finding the Fourth Proportional to 972.26, 1,458.45 and 323.06

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Solution

The fourth proportional to 972.26, 1,458.45 and 323.06 is: 484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.26 : 1,458.45 = 323.06 : x
  2. Step 2: Convert to fraction form
    972.26/1,458.45 = 323.06/x
  3. Step 3: Cross multiply
    972.26x = 1,458.45 × 323.06
  4. Step 4: Simplify right side
    972.26x = 471,166.86
  5. Step 5: Solve for x
    x = 471,166.86/972.26
  6. Step 6: Final answer
    x = 484.61

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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.