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Finding the Fourth Proportional to 943.66, 1,412.95 and 613.61

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Solution

The fourth proportional to 943.66, 1,412.95 and 613.61 is: 918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.66 : 1,412.95 = 613.61 : x
  2. Step 2: Convert to fraction form
    943.66/1,412.95 = 613.61/x
  3. Step 3: Cross multiply
    943.66x = 1,412.95 × 613.61
  4. Step 4: Simplify right side
    943.66x = 867,004.49
  5. Step 5: Solve for x
    x = 867,004.49/943.66
  6. Step 6: Final answer
    x = 918.77

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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.