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Finding the Fourth Proportional to 1,508.19, 2,262.02 and 521.01

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Solution

The fourth proportional to 1,508.19, 2,262.02 and 521.01 is: 781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.19 : 2,262.02 = 521.01 : x
  2. Step 2: Convert to fraction form
    1,508.19/2,262.02 = 521.01/x
  3. Step 3: Cross multiply
    1,508.19x = 2,262.02 × 521.01
  4. Step 4: Simplify right side
    1,508.19x = 1,178,532.44
  5. Step 5: Solve for x
    x = 1,178,532.44/1,508.19
  6. Step 6: Final answer
    x = 781.42

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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.