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Finding the Fourth Proportional to 862.50, 1,190.60 and 583.11

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Solution

The fourth proportional to 862.50, 1,190.60 and 583.11 is: 804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.50 : 1,190.60 = 583.11 : x
  2. Step 2: Convert to fraction form
    862.50/1,190.60 = 583.11/x
  3. Step 3: Cross multiply
    862.50x = 1,190.60 × 583.11
  4. Step 4: Simplify right side
    862.50x = 694,250.77
  5. Step 5: Solve for x
    x = 694,250.77/862.50
  6. Step 6: Final answer
    x = 804.93

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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.