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Finding the Fourth Proportional to 712.66, 1,069.35 and 328.18

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Solution

The fourth proportional to 712.66, 1,069.35 and 328.18 is: 492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.66 : 1,069.35 = 328.18 : x
  2. Step 2: Convert to fraction form
    712.66/1,069.35 = 328.18/x
  3. Step 3: Cross multiply
    712.66x = 1,069.35 × 328.18
  4. Step 4: Simplify right side
    712.66x = 350,939.28
  5. Step 5: Solve for x
    x = 350,939.28/712.66
  6. Step 6: Final answer
    x = 492.44

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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.