Home / 1,215.32-1,821.60-521.84

Finding the Fourth Proportional to 1,215.32, 1,821.60 and 521.84

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Solution

The fourth proportional to 1,215.32, 1,821.60 and 521.84 is: 782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.32 : 1,821.60 = 521.84 : x
  2. Step 2: Convert to fraction form
    1,215.32/1,821.60 = 521.84/x
  3. Step 3: Cross multiply
    1,215.32x = 1,821.60 × 521.84
  4. Step 4: Simplify right side
    1,215.32x = 950,583.74
  5. Step 5: Solve for x
    x = 950,583.74/1,215.32
  6. Step 6: Final answer
    x = 782.17

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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.