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Finding the Fourth Proportional to 1,857.60, 2,785.59 and 559.17

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Solution

The fourth proportional to 1,857.60, 2,785.59 and 559.17 is: 838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.60 : 2,785.59 = 559.17 : x
  2. Step 2: Convert to fraction form
    1,857.60/2,785.59 = 559.17/x
  3. Step 3: Cross multiply
    1,857.60x = 2,785.59 × 559.17
  4. Step 4: Simplify right side
    1,857.60x = 1,557,618.36
  5. Step 5: Solve for x
    x = 1,557,618.36/1,857.60
  6. Step 6: Final answer
    x = 838.51

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1.5x scale

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.