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Finding the Fourth Proportional to 961.99, 1,327.57 and 569.02

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Solution

The fourth proportional to 961.99, 1,327.57 and 569.02 is: 785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.99 : 1,327.57 = 569.02 : x
  2. Step 2: Convert to fraction form
    961.99/1,327.57 = 569.02/x
  3. Step 3: Cross multiply
    961.99x = 1,327.57 × 569.02
  4. Step 4: Simplify right side
    961.99x = 755,413.88
  5. Step 5: Solve for x
    x = 755,413.88/961.99
  6. Step 6: Final answer
    x = 785.26

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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.