Home / 1,215.60-1,822.32-565.44

Finding the Fourth Proportional to 1,215.60, 1,822.32 and 565.44

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Solution

The fourth proportional to 1,215.60, 1,822.32 and 565.44 is: 847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.60 : 1,822.32 = 565.44 : x
  2. Step 2: Convert to fraction form
    1,215.60/1,822.32 = 565.44/x
  3. Step 3: Cross multiply
    1,215.60x = 1,822.32 × 565.44
  4. Step 4: Simplify right side
    1,215.60x = 1,030,412.62
  5. Step 5: Solve for x
    x = 1,030,412.62/1,215.60
  6. Step 6: Final answer
    x = 847.66

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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.