Home / 1,218.29-1,828.13-524.93

Finding the Fourth Proportional to 1,218.29, 1,828.13 and 524.93

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Solution

The fourth proportional to 1,218.29, 1,828.13 and 524.93 is: 787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.29 : 1,828.13 = 524.93 : x
  2. Step 2: Convert to fraction form
    1,218.29/1,828.13 = 524.93/x
  3. Step 3: Cross multiply
    1,218.29x = 1,828.13 × 524.93
  4. Step 4: Simplify right side
    1,218.29x = 959,628.52
  5. Step 5: Solve for x
    x = 959,628.52/1,218.29
  6. Step 6: Final answer
    x = 787.69

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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.