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Finding the Fourth Proportional to 713.71, 1,069.82 and 348.00

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Solution

The fourth proportional to 713.71, 1,069.82 and 348.00 is: 521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.71 : 1,069.82 = 348.00 : x
  2. Step 2: Convert to fraction form
    713.71/1,069.82 = 348.00/x
  3. Step 3: Cross multiply
    713.71x = 1,069.82 × 348.00
  4. Step 4: Simplify right side
    713.71x = 372,292.01
  5. Step 5: Solve for x
    x = 372,292.01/713.71
  6. Step 6: Final answer
    x = 521.63

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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.