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Finding the Fourth Proportional to 712.31, 1,068.00 and 468.09

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Solution

The fourth proportional to 712.31, 1,068.00 and 468.09 is: 701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.31 : 1,068.00 = 468.09 : x
  2. Step 2: Convert to fraction form
    712.31/1,068.00 = 468.09/x
  3. Step 3: Cross multiply
    712.31x = 1,068.00 × 468.09
  4. Step 4: Simplify right side
    712.31x = 499,918.36
  5. Step 5: Solve for x
    x = 499,918.36/712.31
  6. Step 6: Final answer
    x = 701.83

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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.