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Finding the Fourth Proportional to 972.44, 1,458.62 and 663.52

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Solution

The fourth proportional to 972.44, 1,458.62 and 663.52 is: 995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.44 : 1,458.62 = 663.52 : x
  2. Step 2: Convert to fraction form
    972.44/1,458.62 = 663.52/x
  3. Step 3: Cross multiply
    972.44x = 1,458.62 × 663.52
  4. Step 4: Simplify right side
    972.44x = 967,823.54
  5. Step 5: Solve for x
    x = 967,823.54/972.44
  6. Step 6: Final answer
    x = 995.25

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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.