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Finding the Fourth Proportional to 973.78, 1,343.89 and 559.78

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Solution

The fourth proportional to 973.78, 1,343.89 and 559.78 is: 772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.78 : 1,343.89 = 559.78 : x
  2. Step 2: Convert to fraction form
    973.78/1,343.89 = 559.78/x
  3. Step 3: Cross multiply
    973.78x = 1,343.89 × 559.78
  4. Step 4: Simplify right side
    973.78x = 752,282.74
  5. Step 5: Solve for x
    x = 752,282.74/973.78
  6. Step 6: Final answer
    x = 772.54

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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.