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Finding the Fourth Proportional to 973.72, 1,343.55 and 580.78

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Solution

The fourth proportional to 973.72, 1,343.55 and 580.78 is: 801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.72 : 1,343.55 = 580.78 : x
  2. Step 2: Convert to fraction form
    973.72/1,343.55 = 580.78/x
  3. Step 3: Cross multiply
    973.72x = 1,343.55 × 580.78
  4. Step 4: Simplify right side
    973.72x = 780,306.97
  5. Step 5: Solve for x
    x = 780,306.97/973.72
  6. Step 6: Final answer
    x = 801.37

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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.