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Finding the Fourth Proportional to 955.78, 1,431.87 and 564.61

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Solution

The fourth proportional to 955.78, 1,431.87 and 564.61 is: 845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.78 : 1,431.87 = 564.61 : x
  2. Step 2: Convert to fraction form
    955.78/1,431.87 = 564.61/x
  3. Step 3: Cross multiply
    955.78x = 1,431.87 × 564.61
  4. Step 4: Simplify right side
    955.78x = 808,448.12
  5. Step 5: Solve for x
    x = 808,448.12/955.78
  6. Step 6: Final answer
    x = 845.85

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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.