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Finding the Fourth Proportional to 860.08, 1,186.22 and 565.24

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Solution

The fourth proportional to 860.08, 1,186.22 and 565.24 is: 779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.08 : 1,186.22 = 565.24 : x
  2. Step 2: Convert to fraction form
    860.08/1,186.22 = 565.24/x
  3. Step 3: Cross multiply
    860.08x = 1,186.22 × 565.24
  4. Step 4: Simplify right side
    860.08x = 670,498.99
  5. Step 5: Solve for x
    x = 670,498.99/860.08
  6. Step 6: Final answer
    x = 779.58

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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.