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Finding the Fourth Proportional to 1,117.49, 1,542.15 and 613.38

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Solution

The fourth proportional to 1,117.49, 1,542.15 and 613.38 is: 846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.49 : 1,542.15 = 613.38 : x
  2. Step 2: Convert to fraction form
    1,117.49/1,542.15 = 613.38/x
  3. Step 3: Cross multiply
    1,117.49x = 1,542.15 × 613.38
  4. Step 4: Simplify right side
    1,117.49x = 945,923.97
  5. Step 5: Solve for x
    x = 945,923.97/1,117.49
  6. Step 6: Final answer
    x = 846.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.