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Finding the Fourth Proportional to 1,063.78, 1,468.46 and 621.78

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Solution

The fourth proportional to 1,063.78, 1,468.46 and 621.78 is: 858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.78 : 1,468.46 = 621.78 : x
  2. Step 2: Convert to fraction form
    1,063.78/1,468.46 = 621.78/x
  3. Step 3: Cross multiply
    1,063.78x = 1,468.46 × 621.78
  4. Step 4: Simplify right side
    1,063.78x = 913,059.06
  5. Step 5: Solve for x
    x = 913,059.06/1,063.78
  6. Step 6: Final answer
    x = 858.32

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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.