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Finding the Fourth Proportional to 1,095.81, 1,646.55 and 823.65

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Solution

The fourth proportional to 1,095.81, 1,646.55 and 823.65 is: 1,237.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.81 : 1,646.55 = 823.65 : x
  2. Step 2: Convert to fraction form
    1,095.81/1,646.55 = 823.65/x
  3. Step 3: Cross multiply
    1,095.81x = 1,646.55 × 823.65
  4. Step 4: Simplify right side
    1,095.81x = 1,356,180.91
  5. Step 5: Solve for x
    x = 1,356,180.91/1,095.81
  6. Step 6: Final answer
    x = 1,237.61

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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.