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Finding the Fourth Proportional to 1,397.91, 1,929.57 and 873.95

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Solution

The fourth proportional to 1,397.91, 1,929.57 and 873.95 is: 1,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.91 : 1,929.57 = 873.95 : x
  2. Step 2: Convert to fraction form
    1,397.91/1,929.57 = 873.95/x
  3. Step 3: Cross multiply
    1,397.91x = 1,929.57 × 873.95
  4. Step 4: Simplify right side
    1,397.91x = 1,686,338.05
  5. Step 5: Solve for x
    x = 1,686,338.05/1,397.91
  6. Step 6: Final answer
    x = 1,206.33

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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.