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Finding the Fourth Proportional to 407.89, 566.75 and 403.61

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Solution

The fourth proportional to 407.89, 566.75 and 403.61 is: 560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.89 : 566.75 = 403.61 : x
  2. Step 2: Convert to fraction form
    407.89/566.75 = 403.61/x
  3. Step 3: Cross multiply
    407.89x = 566.75 × 403.61
  4. Step 4: Simplify right side
    407.89x = 228,745.97
  5. Step 5: Solve for x
    x = 228,745.97/407.89
  6. Step 6: Final answer
    x = 560.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.