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Finding the Fourth Proportional to 976.48, 1,451.84 and 966.72

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Solution

The fourth proportional to 976.48, 1,451.84 and 966.72 is: 1,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.48 : 1,451.84 = 966.72 : x
  2. Step 2: Convert to fraction form
    976.48/1,451.84 = 966.72/x
  3. Step 3: Cross multiply
    976.48x = 1,451.84 × 966.72
  4. Step 4: Simplify right side
    976.48x = 1,403,522.76
  5. Step 5: Solve for x
    x = 1,403,522.76/976.48
  6. Step 6: Final answer
    x = 1,437.33

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1.5x scale

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.