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Finding the Fourth Proportional to 712.54, 1,069.21 and 469.18

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Solution

The fourth proportional to 712.54, 1,069.21 and 469.18 is: 704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.54 : 1,069.21 = 469.18 : x
  2. Step 2: Convert to fraction form
    712.54/1,069.21 = 469.18/x
  3. Step 3: Cross multiply
    712.54x = 1,069.21 × 469.18
  4. Step 4: Simplify right side
    712.54x = 501,646.60
  5. Step 5: Solve for x
    x = 501,646.60/712.54
  6. Step 6: Final answer
    x = 704.03

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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.