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Finding the Fourth Proportional to 859.95, 1,187.64 and 713.61

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Solution

The fourth proportional to 859.95, 1,187.64 and 713.61 is: 985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.95 : 1,187.64 = 713.61 : x
  2. Step 2: Convert to fraction form
    859.95/1,187.64 = 713.61/x
  3. Step 3: Cross multiply
    859.95x = 1,187.64 × 713.61
  4. Step 4: Simplify right side
    859.95x = 847,511.78
  5. Step 5: Solve for x
    x = 847,511.78/859.95
  6. Step 6: Final answer
    x = 985.54

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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.