Home / 1,218.17-1,827.39-524.84

Finding the Fourth Proportional to 1,218.17, 1,827.39 and 524.84

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Solution

The fourth proportional to 1,218.17, 1,827.39 and 524.84 is: 787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.17 : 1,827.39 = 524.84 : x
  2. Step 2: Convert to fraction form
    1,218.17/1,827.39 = 524.84/x
  3. Step 3: Cross multiply
    1,218.17x = 1,827.39 × 524.84
  4. Step 4: Simplify right side
    1,218.17x = 959,078.23
  5. Step 5: Solve for x
    x = 959,078.23/1,218.17
  6. Step 6: Final answer
    x = 787.31

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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.