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Finding the Fourth Proportional to 712.80, 1,069.38 and 347.51

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Solution

The fourth proportional to 712.80, 1,069.38 and 347.51 is: 521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.80 : 1,069.38 = 347.51 : x
  2. Step 2: Convert to fraction form
    712.80/1,069.38 = 347.51/x
  3. Step 3: Cross multiply
    712.80x = 1,069.38 × 347.51
  4. Step 4: Simplify right side
    712.80x = 371,615.83
  5. Step 5: Solve for x
    x = 371,615.83/712.80
  6. Step 6: Final answer
    x = 521.34

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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.