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Finding the Fourth Proportional to 1,777.92, 2,663.19 and 1,045.26

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Solution

The fourth proportional to 1,777.92, 2,663.19 and 1,045.26 is: 1,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.92 : 2,663.19 = 1,045.26 : x
  2. Step 2: Convert to fraction form
    1,777.92/2,663.19 = 1,045.26/x
  3. Step 3: Cross multiply
    1,777.92x = 2,663.19 × 1,045.26
  4. Step 4: Simplify right side
    1,777.92x = 2,783,725.98
  5. Step 5: Solve for x
    x = 2,783,725.98/1,777.92
  6. Step 6: Final answer
    x = 1,565.72

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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.