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Finding the Fourth Proportional to 1,395.29, 1,925.41 and 805.79

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Solution

The fourth proportional to 1,395.29, 1,925.41 and 805.79 is: 1,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.29 : 1,925.41 = 805.79 : x
  2. Step 2: Convert to fraction form
    1,395.29/1,925.41 = 805.79/x
  3. Step 3: Cross multiply
    1,395.29x = 1,925.41 × 805.79
  4. Step 4: Simplify right side
    1,395.29x = 1,551,472.09
  5. Step 5: Solve for x
    x = 1,551,472.09/1,395.29
  6. Step 6: Final answer
    x = 1,111.94

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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.