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Finding the Fourth Proportional to 1,560.80, 2,343.47 and 974.09

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Solution

The fourth proportional to 1,560.80, 2,343.47 and 974.09 is: 1,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.80 : 2,343.47 = 974.09 : x
  2. Step 2: Convert to fraction form
    1,560.80/2,343.47 = 974.09/x
  3. Step 3: Cross multiply
    1,560.80x = 2,343.47 × 974.09
  4. Step 4: Simplify right side
    1,560.80x = 2,282,751.68
  5. Step 5: Solve for x
    x = 2,282,751.68/1,560.80
  6. Step 6: Final answer
    x = 1,462.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.