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Finding the Fourth Proportional to 961.85, 1,327.63 and 569.01

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Solution

The fourth proportional to 961.85, 1,327.63 and 569.01 is: 785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.85 : 1,327.63 = 569.01 : x
  2. Step 2: Convert to fraction form
    961.85/1,327.63 = 569.01/x
  3. Step 3: Cross multiply
    961.85x = 1,327.63 × 569.01
  4. Step 4: Simplify right side
    961.85x = 755,431.90
  5. Step 5: Solve for x
    x = 755,431.90/961.85
  6. Step 6: Final answer
    x = 785.39

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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.