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Finding the Fourth Proportional to 712.80, 1,068.42 and 302.19

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Solution

The fourth proportional to 712.80, 1,068.42 and 302.19 is: 452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.80 : 1,068.42 = 302.19 : x
  2. Step 2: Convert to fraction form
    712.80/1,068.42 = 302.19/x
  3. Step 3: Cross multiply
    712.80x = 1,068.42 × 302.19
  4. Step 4: Simplify right side
    712.80x = 322,865.84
  5. Step 5: Solve for x
    x = 322,865.84/712.80
  6. Step 6: Final answer
    x = 452.95

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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.