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Finding the Fourth Proportional to 713.43, 1,069.68 and 469.22

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Solution

The fourth proportional to 713.43, 1,069.68 and 469.22 is: 703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.43 : 1,069.68 = 469.22 : x
  2. Step 2: Convert to fraction form
    713.43/1,069.68 = 469.22/x
  3. Step 3: Cross multiply
    713.43x = 1,069.68 × 469.22
  4. Step 4: Simplify right side
    713.43x = 501,911.66
  5. Step 5: Solve for x
    x = 501,911.66/713.43
  6. Step 6: Final answer
    x = 703.52

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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.