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Finding the Fourth Proportional to 712.74, 1,068.20 and 365.79

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Solution

The fourth proportional to 712.74, 1,068.20 and 365.79 is: 548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.74 : 1,068.20 = 365.79 : x
  2. Step 2: Convert to fraction form
    712.74/1,068.20 = 365.79/x
  3. Step 3: Cross multiply
    712.74x = 1,068.20 × 365.79
  4. Step 4: Simplify right side
    712.74x = 390,735.05
  5. Step 5: Solve for x
    x = 390,735.05/712.74
  6. Step 6: Final answer
    x = 548.22

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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.