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Finding the Fourth Proportional to 1,473.20, 2,209.77 and 499.98

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Solution

The fourth proportional to 1,473.20, 2,209.77 and 499.98 is: 749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.20 : 2,209.77 = 499.98 : x
  2. Step 2: Convert to fraction form
    1,473.20/2,209.77 = 499.98/x
  3. Step 3: Cross multiply
    1,473.20x = 2,209.77 × 499.98
  4. Step 4: Simplify right side
    1,473.20x = 1,104,840.80
  5. Step 5: Solve for x
    x = 1,104,840.80/1,473.20
  6. Step 6: Final answer
    x = 749.96

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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.