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Finding the Fourth Proportional to 976.76, 1,456.98 and 883.34

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Solution

The fourth proportional to 976.76, 1,456.98 and 883.34 is: 1,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.76 : 1,456.98 = 883.34 : x
  2. Step 2: Convert to fraction form
    976.76/1,456.98 = 883.34/x
  3. Step 3: Cross multiply
    976.76x = 1,456.98 × 883.34
  4. Step 4: Simplify right side
    976.76x = 1,287,001.43
  5. Step 5: Solve for x
    x = 1,287,001.43/976.76
  6. Step 6: Final answer
    x = 1,317.63

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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.