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Finding the Fourth Proportional to 1,817.57, 2,726.33 and 776.69

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Solution

The fourth proportional to 1,817.57, 2,726.33 and 776.69 is: 1,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.57 : 2,726.33 = 776.69 : x
  2. Step 2: Convert to fraction form
    1,817.57/2,726.33 = 776.69/x
  3. Step 3: Cross multiply
    1,817.57x = 2,726.33 × 776.69
  4. Step 4: Simplify right side
    1,817.57x = 2,117,499.62
  5. Step 5: Solve for x
    x = 2,117,499.62/1,817.57
  6. Step 6: Final answer
    x = 1,165.02

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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.