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Finding the Fourth Proportional to 1,854.21, 2,781.31 and 555.68

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Solution

The fourth proportional to 1,854.21, 2,781.31 and 555.68 is: 833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.21 : 2,781.31 = 555.68 : x
  2. Step 2: Convert to fraction form
    1,854.21/2,781.31 = 555.68/x
  3. Step 3: Cross multiply
    1,854.21x = 2,781.31 × 555.68
  4. Step 4: Simplify right side
    1,854.21x = 1,545,503.05
  5. Step 5: Solve for x
    x = 1,545,503.05/1,854.21
  6. Step 6: Final answer
    x = 833.51

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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.