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Finding the Fourth Proportional to 1,046.26, 1,568.62 and 498.12

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Solution

The fourth proportional to 1,046.26, 1,568.62 and 498.12 is: 746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.26 : 1,568.62 = 498.12 : x
  2. Step 2: Convert to fraction form
    1,046.26/1,568.62 = 498.12/x
  3. Step 3: Cross multiply
    1,046.26x = 1,568.62 × 498.12
  4. Step 4: Simplify right side
    1,046.26x = 781,360.99
  5. Step 5: Solve for x
    x = 781,360.99/1,046.26
  6. Step 6: Final answer
    x = 746.81

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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.