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Finding the Fourth Proportional to 839.19, 1,263.20 and 713.91

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Solution

The fourth proportional to 839.19, 1,263.20 and 713.91 is: 1,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.19 : 1,263.20 = 713.91 : x
  2. Step 2: Convert to fraction form
    839.19/1,263.20 = 713.91/x
  3. Step 3: Cross multiply
    839.19x = 1,263.20 × 713.91
  4. Step 4: Simplify right side
    839.19x = 901,811.11
  5. Step 5: Solve for x
    x = 901,811.11/839.19
  6. Step 6: Final answer
    x = 1,074.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.