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Finding the Fourth Proportional to 1,857.60, 2,785.52 and 558.77

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Solution

The fourth proportional to 1,857.60, 2,785.52 and 558.77 is: 837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.60 : 2,785.52 = 558.77 : x
  2. Step 2: Convert to fraction form
    1,857.60/2,785.52 = 558.77/x
  3. Step 3: Cross multiply
    1,857.60x = 2,785.52 × 558.77
  4. Step 4: Simplify right side
    1,857.60x = 1,556,452.48
  5. Step 5: Solve for x
    x = 1,556,452.48/1,857.60
  6. Step 6: Final answer
    x = 837.88

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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.