Home / 1,217.73-1,827.63-524.92

Finding the Fourth Proportional to 1,217.73, 1,827.63 and 524.92

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Solution

The fourth proportional to 1,217.73, 1,827.63 and 524.92 is: 787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.73 : 1,827.63 = 524.92 : x
  2. Step 2: Convert to fraction form
    1,217.73/1,827.63 = 524.92/x
  3. Step 3: Cross multiply
    1,217.73x = 1,827.63 × 524.92
  4. Step 4: Simplify right side
    1,217.73x = 959,353.61
  5. Step 5: Solve for x
    x = 959,353.61/1,217.73
  6. Step 6: Final answer
    x = 787.82

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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.