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Finding the Fourth Proportional to 712.82, 1,068.75 and 608.73

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Solution

The fourth proportional to 712.82, 1,068.75 and 608.73 is: 912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.82 : 1,068.75 = 608.73 : x
  2. Step 2: Convert to fraction form
    712.82/1,068.75 = 608.73/x
  3. Step 3: Cross multiply
    712.82x = 1,068.75 × 608.73
  4. Step 4: Simplify right side
    712.82x = 650,580.19
  5. Step 5: Solve for x
    x = 650,580.19/712.82
  6. Step 6: Final answer
    x = 912.69

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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.