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Finding the Fourth Proportional to 976.52, 1,346.34 and 627.08

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Solution

The fourth proportional to 976.52, 1,346.34 and 627.08 is: 864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.52 : 1,346.34 = 627.08 : x
  2. Step 2: Convert to fraction form
    976.52/1,346.34 = 627.08/x
  3. Step 3: Cross multiply
    976.52x = 1,346.34 × 627.08
  4. Step 4: Simplify right side
    976.52x = 844,262.89
  5. Step 5: Solve for x
    x = 844,262.89/976.52
  6. Step 6: Final answer
    x = 864.56

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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.