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Finding the Fourth Proportional to 1,854.22, 2,780.73 and 621.31

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Solution

The fourth proportional to 1,854.22, 2,780.73 and 621.31 is: 931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.22 : 2,780.73 = 621.31 : x
  2. Step 2: Convert to fraction form
    1,854.22/2,780.73 = 621.31/x
  3. Step 3: Cross multiply
    1,854.22x = 2,780.73 × 621.31
  4. Step 4: Simplify right side
    1,854.22x = 1,727,695.36
  5. Step 5: Solve for x
    x = 1,727,695.36/1,854.22
  6. Step 6: Final answer
    x = 931.76

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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.