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Finding the Fourth Proportional to 976.73, 1,347.75 and 557.10

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Solution

The fourth proportional to 976.73, 1,347.75 and 557.10 is: 768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.73 : 1,347.75 = 557.10 : x
  2. Step 2: Convert to fraction form
    976.73/1,347.75 = 557.10/x
  3. Step 3: Cross multiply
    976.73x = 1,347.75 × 557.10
  4. Step 4: Simplify right side
    976.73x = 750,831.53
  5. Step 5: Solve for x
    x = 750,831.53/976.73
  6. Step 6: Final answer
    x = 768.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.