Home / 1,218.54-1,826.10-524.28

Finding the Fourth Proportional to 1,218.54, 1,826.10 and 524.28

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Solution

The fourth proportional to 1,218.54, 1,826.10 and 524.28 is: 785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.54 : 1,826.10 = 524.28 : x
  2. Step 2: Convert to fraction form
    1,218.54/1,826.10 = 524.28/x
  3. Step 3: Cross multiply
    1,218.54x = 1,826.10 × 524.28
  4. Step 4: Simplify right side
    1,218.54x = 957,387.71
  5. Step 5: Solve for x
    x = 957,387.71/1,218.54
  6. Step 6: Final answer
    x = 785.68

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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.