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Finding the Fourth Proportional to 1,415.92, 2,123.27 and 442.10

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Solution

The fourth proportional to 1,415.92, 2,123.27 and 442.10 is: 662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.92 : 2,123.27 = 442.10 : x
  2. Step 2: Convert to fraction form
    1,415.92/2,123.27 = 442.10/x
  3. Step 3: Cross multiply
    1,415.92x = 2,123.27 × 442.10
  4. Step 4: Simplify right side
    1,415.92x = 938,697.67
  5. Step 5: Solve for x
    x = 938,697.67/1,415.92
  6. Step 6: Final answer
    x = 662.96

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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.