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Finding the Fourth Proportional to 713.07, 1,069.40 and 342.69

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Solution

The fourth proportional to 713.07, 1,069.40 and 342.69 is: 513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.07 : 1,069.40 = 342.69 : x
  2. Step 2: Convert to fraction form
    713.07/1,069.40 = 342.69/x
  3. Step 3: Cross multiply
    713.07x = 1,069.40 × 342.69
  4. Step 4: Simplify right side
    713.07x = 366,470.97
  5. Step 5: Solve for x
    x = 366,470.97/713.07
  6. Step 6: Final answer
    x = 513.93

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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.