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Finding the Fourth Proportional to 713.69, 1,069.71 and 328.13

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Solution

The fourth proportional to 713.69, 1,069.71 and 328.13 is: 491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.69 : 1,069.71 = 328.13 : x
  2. Step 2: Convert to fraction form
    713.69/1,069.71 = 328.13/x
  3. Step 3: Cross multiply
    713.69x = 1,069.71 × 328.13
  4. Step 4: Simplify right side
    713.69x = 351,003.94
  5. Step 5: Solve for x
    x = 351,003.94/713.69
  6. Step 6: Final answer
    x = 491.82

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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.