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Finding the Fourth Proportional to 712.33, 1,069.18 and 347.38

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Solution

The fourth proportional to 712.33, 1,069.18 and 347.38 is: 521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.33 : 1,069.18 = 347.38 : x
  2. Step 2: Convert to fraction form
    712.33/1,069.18 = 347.38/x
  3. Step 3: Cross multiply
    712.33x = 1,069.18 × 347.38
  4. Step 4: Simplify right side
    712.33x = 371,407.27
  5. Step 5: Solve for x
    x = 371,407.27/712.33
  6. Step 6: Final answer
    x = 521.40

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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.