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Finding the Fourth Proportional to 1,063.77, 1,467.79 and 621.73

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Solution

The fourth proportional to 1,063.77, 1,467.79 and 621.73 is: 857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.77 : 1,467.79 = 621.73 : x
  2. Step 2: Convert to fraction form
    1,063.77/1,467.79 = 621.73/x
  3. Step 3: Cross multiply
    1,063.77x = 1,467.79 × 621.73
  4. Step 4: Simplify right side
    1,063.77x = 912,569.08
  5. Step 5: Solve for x
    x = 912,569.08/1,063.77
  6. Step 6: Final answer
    x = 857.86

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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.