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Finding the Fourth Proportional to 1,245.73, 1,868.58 and 594.49

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Solution

The fourth proportional to 1,245.73, 1,868.58 and 594.49 is: 891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.73 : 1,868.58 = 594.49 : x
  2. Step 2: Convert to fraction form
    1,245.73/1,868.58 = 594.49/x
  3. Step 3: Cross multiply
    1,245.73x = 1,868.58 × 594.49
  4. Step 4: Simplify right side
    1,245.73x = 1,110,842.78
  5. Step 5: Solve for x
    x = 1,110,842.78/1,245.73
  6. Step 6: Final answer
    x = 891.72

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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.