Home / 1,562.20-2,342.51-521.83

Finding the Fourth Proportional to 1,562.20, 2,342.51 and 521.83

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Solution

The fourth proportional to 1,562.20, 2,342.51 and 521.83 is: 782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.20 : 2,342.51 = 521.83 : x
  2. Step 2: Convert to fraction form
    1,562.20/2,342.51 = 521.83/x
  3. Step 3: Cross multiply
    1,562.20x = 2,342.51 × 521.83
  4. Step 4: Simplify right side
    1,562.20x = 1,222,390.69
  5. Step 5: Solve for x
    x = 1,222,390.69/1,562.20
  6. Step 6: Final answer
    x = 782.48

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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.