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Finding the Fourth Proportional to 712.80, 1,069.20 and 457.44

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Solution

The fourth proportional to 712.80, 1,069.20 and 457.44 is: 686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.80 : 1,069.20 = 457.44 : x
  2. Step 2: Convert to fraction form
    712.80/1,069.20 = 457.44/x
  3. Step 3: Cross multiply
    712.80x = 1,069.20 × 457.44
  4. Step 4: Simplify right side
    712.80x = 489,094.85
  5. Step 5: Solve for x
    x = 489,094.85/712.80
  6. Step 6: Final answer
    x = 686.16

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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.