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Finding the Fourth Proportional to 839.94, 1,160.80 and 630.84

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Solution

The fourth proportional to 839.94, 1,160.80 and 630.84 is: 871.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.94 : 1,160.80 = 630.84 : x
  2. Step 2: Convert to fraction form
    839.94/1,160.80 = 630.84/x
  3. Step 3: Cross multiply
    839.94x = 1,160.80 × 630.84
  4. Step 4: Simplify right side
    839.94x = 732,279.07
  5. Step 5: Solve for x
    x = 732,279.07/839.94
  6. Step 6: Final answer
    x = 871.82

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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.