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Finding the Fourth Proportional to 716.74, 1,076.02 and 554.54

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Solution

The fourth proportional to 716.74, 1,076.02 and 554.54 is: 832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.74 : 1,076.02 = 554.54 : x
  2. Step 2: Convert to fraction form
    716.74/1,076.02 = 554.54/x
  3. Step 3: Cross multiply
    716.74x = 1,076.02 × 554.54
  4. Step 4: Simplify right side
    716.74x = 596,696.13
  5. Step 5: Solve for x
    x = 596,696.13/716.74
  6. Step 6: Final answer
    x = 832.51

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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.