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Finding the Fourth Proportional to 877.87, 1,211.96 and 583.54

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Solution

The fourth proportional to 877.87, 1,211.96 and 583.54 is: 805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.87 : 1,211.96 = 583.54 : x
  2. Step 2: Convert to fraction form
    877.87/1,211.96 = 583.54/x
  3. Step 3: Cross multiply
    877.87x = 1,211.96 × 583.54
  4. Step 4: Simplify right side
    877.87x = 707,227.14
  5. Step 5: Solve for x
    x = 707,227.14/877.87
  6. Step 6: Final answer
    x = 805.62

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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.