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Finding the Fourth Proportional to 976.52, 1,456.76 and 943.58

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Solution

The fourth proportional to 976.52, 1,456.76 and 943.58 is: 1,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.52 : 1,456.76 = 943.58 : x
  2. Step 2: Convert to fraction form
    976.52/1,456.76 = 943.58/x
  3. Step 3: Cross multiply
    976.52x = 1,456.76 × 943.58
  4. Step 4: Simplify right side
    976.52x = 1,374,569.60
  5. Step 5: Solve for x
    x = 1,374,569.60/976.52
  6. Step 6: Final answer
    x = 1,407.62

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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.