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Finding the Fourth Proportional to 1,019.91, 1,406.97 and 621.39

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Solution

The fourth proportional to 1,019.91, 1,406.97 and 621.39 is: 857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.91 : 1,406.97 = 621.39 : x
  2. Step 2: Convert to fraction form
    1,019.91/1,406.97 = 621.39/x
  3. Step 3: Cross multiply
    1,019.91x = 1,406.97 × 621.39
  4. Step 4: Simplify right side
    1,019.91x = 874,277.09
  5. Step 5: Solve for x
    x = 874,277.09/1,019.91
  6. Step 6: Final answer
    x = 857.21

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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.