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Finding the Fourth Proportional to 1,478.67, 2,212.85 and 893.32

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Solution

The fourth proportional to 1,478.67, 2,212.85 and 893.32 is: 1,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.67 : 2,212.85 = 893.32 : x
  2. Step 2: Convert to fraction form
    1,478.67/2,212.85 = 893.32/x
  3. Step 3: Cross multiply
    1,478.67x = 2,212.85 × 893.32
  4. Step 4: Simplify right side
    1,478.67x = 1,976,779.86
  5. Step 5: Solve for x
    x = 1,976,779.86/1,478.67
  6. Step 6: Final answer
    x = 1,336.87

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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.