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Finding the Fourth Proportional to 1,259.55, 1,737.91 and 817.29

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Solution

The fourth proportional to 1,259.55, 1,737.91 and 817.29 is: 1,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.55 : 1,737.91 = 817.29 : x
  2. Step 2: Convert to fraction form
    1,259.55/1,737.91 = 817.29/x
  3. Step 3: Cross multiply
    1,259.55x = 1,737.91 × 817.29
  4. Step 4: Simplify right side
    1,259.55x = 1,420,372.89
  5. Step 5: Solve for x
    x = 1,420,372.89/1,259.55
  6. Step 6: Final answer
    x = 1,127.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.