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Finding the Fourth Proportional to 860.87, 1,188.39 and 577.77

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Solution

The fourth proportional to 860.87, 1,188.39 and 577.77 is: 797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.87 : 1,188.39 = 577.77 : x
  2. Step 2: Convert to fraction form
    860.87/1,188.39 = 577.77/x
  3. Step 3: Cross multiply
    860.87x = 1,188.39 × 577.77
  4. Step 4: Simplify right side
    860.87x = 686,616.09
  5. Step 5: Solve for x
    x = 686,616.09/860.87
  6. Step 6: Final answer
    x = 797.59

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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.