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Finding the Fourth Proportional to 976.32, 1,458.88 and 958.08

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Solution

The fourth proportional to 976.32, 1,458.88 and 958.08 is: 1,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.32 : 1,458.88 = 958.08 : x
  2. Step 2: Convert to fraction form
    976.32/1,458.88 = 958.08/x
  3. Step 3: Cross multiply
    976.32x = 1,458.88 × 958.08
  4. Step 4: Simplify right side
    976.32x = 1,397,723.75
  5. Step 5: Solve for x
    x = 1,397,723.75/976.32
  6. Step 6: Final answer
    x = 1,431.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.