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Finding the Fourth Proportional to 860.91, 1,289.76 and 583.13

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Solution

The fourth proportional to 860.91, 1,289.76 and 583.13 is: 873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.91 : 1,289.76 = 583.13 : x
  2. Step 2: Convert to fraction form
    860.91/1,289.76 = 583.13/x
  3. Step 3: Cross multiply
    860.91x = 1,289.76 × 583.13
  4. Step 4: Simplify right side
    860.91x = 752,097.75
  5. Step 5: Solve for x
    x = 752,097.75/860.91
  6. Step 6: Final answer
    x = 873.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.