Home / 1,218.40-1,827.60-569.86

Finding the Fourth Proportional to 1,218.40, 1,827.60 and 569.86

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Solution

The fourth proportional to 1,218.40, 1,827.60 and 569.86 is: 854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.40 : 1,827.60 = 569.86 : x
  2. Step 2: Convert to fraction form
    1,218.40/1,827.60 = 569.86/x
  3. Step 3: Cross multiply
    1,218.40x = 1,827.60 × 569.86
  4. Step 4: Simplify right side
    1,218.40x = 1,041,476.14
  5. Step 5: Solve for x
    x = 1,041,476.14/1,218.40
  6. Step 6: Final answer
    x = 854.79

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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.