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Finding the Fourth Proportional to 1,499.76, 2,249.32 and 574.99

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Solution

The fourth proportional to 1,499.76, 2,249.32 and 574.99 is: 862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.76 : 2,249.32 = 574.99 : x
  2. Step 2: Convert to fraction form
    1,499.76/2,249.32 = 574.99/x
  3. Step 3: Cross multiply
    1,499.76x = 2,249.32 × 574.99
  4. Step 4: Simplify right side
    1,499.76x = 1,293,336.51
  5. Step 5: Solve for x
    x = 1,293,336.51/1,499.76
  6. Step 6: Final answer
    x = 862.36

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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.