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Finding the Fourth Proportional to 913.50, 1,370.24 and 451.49

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Solution

The fourth proportional to 913.50, 1,370.24 and 451.49 is: 677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.50 : 1,370.24 = 451.49 : x
  2. Step 2: Convert to fraction form
    913.50/1,370.24 = 451.49/x
  3. Step 3: Cross multiply
    913.50x = 1,370.24 × 451.49
  4. Step 4: Simplify right side
    913.50x = 618,649.66
  5. Step 5: Solve for x
    x = 618,649.66/913.50
  6. Step 6: Final answer
    x = 677.23

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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.