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Finding the Fourth Proportional to 552.69, 761.85 and 412.61

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Solution

The fourth proportional to 552.69, 761.85 and 412.61 is: 568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.69 : 761.85 = 412.61 : x
  2. Step 2: Convert to fraction form
    552.69/761.85 = 412.61/x
  3. Step 3: Cross multiply
    552.69x = 761.85 × 412.61
  4. Step 4: Simplify right side
    552.69x = 314,343.12
  5. Step 5: Solve for x
    x = 314,343.12/552.69
  6. Step 6: Final answer
    x = 568.75

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.