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Finding the Fourth Proportional to 1,040.76, 1,558.47 and 552.72

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Solution

The fourth proportional to 1,040.76, 1,558.47 and 552.72 is: 827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.76 : 1,558.47 = 552.72 : x
  2. Step 2: Convert to fraction form
    1,040.76/1,558.47 = 552.72/x
  3. Step 3: Cross multiply
    1,040.76x = 1,558.47 × 552.72
  4. Step 4: Simplify right side
    1,040.76x = 861,397.54
  5. Step 5: Solve for x
    x = 861,397.54/1,040.76
  6. Step 6: Final answer
    x = 827.66

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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.