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Finding the Fourth Proportional to 1,498.90, 2,249.03 and 525.70

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Solution

The fourth proportional to 1,498.90, 2,249.03 and 525.70 is: 788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.90 : 2,249.03 = 525.70 : x
  2. Step 2: Convert to fraction form
    1,498.90/2,249.03 = 525.70/x
  3. Step 3: Cross multiply
    1,498.90x = 2,249.03 × 525.70
  4. Step 4: Simplify right side
    1,498.90x = 1,182,315.07
  5. Step 5: Solve for x
    x = 1,182,315.07/1,498.90
  6. Step 6: Final answer
    x = 788.79

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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.