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Finding the Fourth Proportional to 1,040.49, 1,559.66 and 423.95

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Solution

The fourth proportional to 1,040.49, 1,559.66 and 423.95 is: 635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.49 : 1,559.66 = 423.95 : x
  2. Step 2: Convert to fraction form
    1,040.49/1,559.66 = 423.95/x
  3. Step 3: Cross multiply
    1,040.49x = 1,559.66 × 423.95
  4. Step 4: Simplify right side
    1,040.49x = 661,207.94
  5. Step 5: Solve for x
    x = 661,207.94/1,040.49
  6. Step 6: Final answer
    x = 635.48

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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.