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Finding the Fourth Proportional to 1,190.87, 1,785.53 and 498.01

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Solution

The fourth proportional to 1,190.87, 1,785.53 and 498.01 is: 746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.87 : 1,785.53 = 498.01 : x
  2. Step 2: Convert to fraction form
    1,190.87/1,785.53 = 498.01/x
  3. Step 3: Cross multiply
    1,190.87x = 1,785.53 × 498.01
  4. Step 4: Simplify right side
    1,190.87x = 889,211.80
  5. Step 5: Solve for x
    x = 889,211.80/1,190.87
  6. Step 6: Final answer
    x = 746.69

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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.