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Finding the Fourth Proportional to 1,363.54, 2,045.30 and 439.06

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Solution

The fourth proportional to 1,363.54, 2,045.30 and 439.06 is: 658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.54 : 2,045.30 = 439.06 : x
  2. Step 2: Convert to fraction form
    1,363.54/2,045.30 = 439.06/x
  3. Step 3: Cross multiply
    1,363.54x = 2,045.30 × 439.06
  4. Step 4: Simplify right side
    1,363.54x = 898,009.42
  5. Step 5: Solve for x
    x = 898,009.42/1,363.54
  6. Step 6: Final answer
    x = 658.59

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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.