Home / 1,214.19-1,821.89-565.38

Finding the Fourth Proportional to 1,214.19, 1,821.89 and 565.38

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Solution

The fourth proportional to 1,214.19, 1,821.89 and 565.38 is: 848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.19 : 1,821.89 = 565.38 : x
  2. Step 2: Convert to fraction form
    1,214.19/1,821.89 = 565.38/x
  3. Step 3: Cross multiply
    1,214.19x = 1,821.89 × 565.38
  4. Step 4: Simplify right side
    1,214.19x = 1,030,061.58
  5. Step 5: Solve for x
    x = 1,030,061.58/1,214.19
  6. Step 6: Final answer
    x = 848.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.