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Finding the Fourth Proportional to 1,295.13, 1,937.83 and 805.89

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Solution

The fourth proportional to 1,295.13, 1,937.83 and 805.89 is: 1,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.13 : 1,937.83 = 805.89 : x
  2. Step 2: Convert to fraction form
    1,295.13/1,937.83 = 805.89/x
  3. Step 3: Cross multiply
    1,295.13x = 1,937.83 × 805.89
  4. Step 4: Simplify right side
    1,295.13x = 1,561,666.11
  5. Step 5: Solve for x
    x = 1,561,666.11/1,295.13
  6. Step 6: Final answer
    x = 1,205.80

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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.