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Finding the Fourth Proportional to 1,363.75, 2,045.63 and 440.08

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Solution

The fourth proportional to 1,363.75, 2,045.63 and 440.08 is: 660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.75 : 2,045.63 = 440.08 : x
  2. Step 2: Convert to fraction form
    1,363.75/2,045.63 = 440.08/x
  3. Step 3: Cross multiply
    1,363.75x = 2,045.63 × 440.08
  4. Step 4: Simplify right side
    1,363.75x = 900,238.65
  5. Step 5: Solve for x
    x = 900,238.65/1,363.75
  6. Step 6: Final answer
    x = 660.12

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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.