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Finding the Fourth Proportional to 1,854.39, 2,782.01 and 555.83

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Solution

The fourth proportional to 1,854.39, 2,782.01 and 555.83 is: 833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.39 : 2,782.01 = 555.83 : x
  2. Step 2: Convert to fraction form
    1,854.39/2,782.01 = 555.83/x
  3. Step 3: Cross multiply
    1,854.39x = 2,782.01 × 555.83
  4. Step 4: Simplify right side
    1,854.39x = 1,546,322.53
  5. Step 5: Solve for x
    x = 1,546,322.53/1,854.39
  6. Step 6: Final answer
    x = 833.87

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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.