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Finding the Fourth Proportional to 1,365.60, 2,044.08 and 974.34

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Solution

The fourth proportional to 1,365.60, 2,044.08 and 974.34 is: 1,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.60 : 2,044.08 = 974.34 : x
  2. Step 2: Convert to fraction form
    1,365.60/2,044.08 = 974.34/x
  3. Step 3: Cross multiply
    1,365.60x = 2,044.08 × 974.34
  4. Step 4: Simplify right side
    1,365.60x = 1,991,628.91
  5. Step 5: Solve for x
    x = 1,991,628.91/1,365.60
  6. Step 6: Final answer
    x = 1,458.43

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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.