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Finding the Fourth Proportional to 1,230.72, 1,844.46 and 904.56

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Solution

The fourth proportional to 1,230.72, 1,844.46 and 904.56 is: 1,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.72 : 1,844.46 = 904.56 : x
  2. Step 2: Convert to fraction form
    1,230.72/1,844.46 = 904.56/x
  3. Step 3: Cross multiply
    1,230.72x = 1,844.46 × 904.56
  4. Step 4: Simplify right side
    1,230.72x = 1,668,424.74
  5. Step 5: Solve for x
    x = 1,668,424.74/1,230.72
  6. Step 6: Final answer
    x = 1,355.65

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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.