Home / 1,411.23-2,116.82-385.23

Finding the Fourth Proportional to 1,411.23, 2,116.82 and 385.23

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Solution

The fourth proportional to 1,411.23, 2,116.82 and 385.23 is: 577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.23 : 2,116.82 = 385.23 : x
  2. Step 2: Convert to fraction form
    1,411.23/2,116.82 = 385.23/x
  3. Step 3: Cross multiply
    1,411.23x = 2,116.82 × 385.23
  4. Step 4: Simplify right side
    1,411.23x = 815,463.53
  5. Step 5: Solve for x
    x = 815,463.53/1,411.23
  6. Step 6: Final answer
    x = 577.84

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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.