Home / 1,442.30-2,162.15-564.60

Finding the Fourth Proportional to 1,442.30, 2,162.15 and 564.60

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Solution

The fourth proportional to 1,442.30, 2,162.15 and 564.60 is: 846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.30 : 2,162.15 = 564.60 : x
  2. Step 2: Convert to fraction form
    1,442.30/2,162.15 = 564.60/x
  3. Step 3: Cross multiply
    1,442.30x = 2,162.15 × 564.60
  4. Step 4: Simplify right side
    1,442.30x = 1,220,747.07
  5. Step 5: Solve for x
    x = 1,220,747.07/1,442.30
  6. Step 6: Final answer
    x = 846.39

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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.