Home / 1,218.29-1,827.20-778.23

Finding the Fourth Proportional to 1,218.29, 1,827.20 and 778.23

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Solution

The fourth proportional to 1,218.29, 1,827.20 and 778.23 is: 1,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.29 : 1,827.20 = 778.23 : x
  2. Step 2: Convert to fraction form
    1,218.29/1,827.20 = 778.23/x
  3. Step 3: Cross multiply
    1,218.29x = 1,827.20 × 778.23
  4. Step 4: Simplify right side
    1,218.29x = 1,421,977.96
  5. Step 5: Solve for x
    x = 1,421,977.96/1,218.29
  6. Step 6: Final answer
    x = 1,167.20

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1.5x scale

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.