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Finding the Fourth Proportional to 1,666.48, 2,500.08 and 496.57

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Solution

The fourth proportional to 1,666.48, 2,500.08 and 496.57 is: 744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.48 : 2,500.08 = 496.57 : x
  2. Step 2: Convert to fraction form
    1,666.48/2,500.08 = 496.57/x
  3. Step 3: Cross multiply
    1,666.48x = 2,500.08 × 496.57
  4. Step 4: Simplify right side
    1,666.48x = 1,241,464.73
  5. Step 5: Solve for x
    x = 1,241,464.73/1,666.48
  6. Step 6: Final answer
    x = 744.96

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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.