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Finding the Fourth Proportional to 1,666.23, 2,498.89 and 496.18

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Solution

The fourth proportional to 1,666.23, 2,498.89 and 496.18 is: 744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.23 : 2,498.89 = 496.18 : x
  2. Step 2: Convert to fraction form
    1,666.23/2,498.89 = 496.18/x
  3. Step 3: Cross multiply
    1,666.23x = 2,498.89 × 496.18
  4. Step 4: Simplify right side
    1,666.23x = 1,239,899.24
  5. Step 5: Solve for x
    x = 1,239,899.24/1,666.23
  6. Step 6: Final answer
    x = 744.13

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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.