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Finding the Fourth Proportional to 1,442.99, 2,162.13 and 564.50

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Solution

The fourth proportional to 1,442.99, 2,162.13 and 564.50 is: 845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.99 : 2,162.13 = 564.50 : x
  2. Step 2: Convert to fraction form
    1,442.99/2,162.13 = 564.50/x
  3. Step 3: Cross multiply
    1,442.99x = 2,162.13 × 564.50
  4. Step 4: Simplify right side
    1,442.99x = 1,220,511.57
  5. Step 5: Solve for x
    x = 1,220,511.57/1,442.99
  6. Step 6: Final answer
    x = 845.82

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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.