Home / 1,218.53-1,827.44-525.05

Finding the Fourth Proportional to 1,218.53, 1,827.44 and 525.05

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Solution

The fourth proportional to 1,218.53, 1,827.44 and 525.05 is: 787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.53 : 1,827.44 = 525.05 : x
  2. Step 2: Convert to fraction form
    1,218.53/1,827.44 = 525.05/x
  3. Step 3: Cross multiply
    1,218.53x = 1,827.44 × 525.05
  4. Step 4: Simplify right side
    1,218.53x = 959,485.61
  5. Step 5: Solve for x
    x = 959,485.61/1,218.53
  6. Step 6: Final answer
    x = 787.42

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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.