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Finding the Fourth Proportional to 713.90, 1,069.15 and 347.51

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Solution

The fourth proportional to 713.90, 1,069.15 and 347.51 is: 520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.90 : 1,069.15 = 347.51 : x
  2. Step 2: Convert to fraction form
    713.90/1,069.15 = 347.51/x
  3. Step 3: Cross multiply
    713.90x = 1,069.15 × 347.51
  4. Step 4: Simplify right side
    713.90x = 371,540.32
  5. Step 5: Solve for x
    x = 371,540.32/713.90
  6. Step 6: Final answer
    x = 520.44

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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.