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Finding the Fourth Proportional to 1,855.62, 2,782.92 and 557.10

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Solution

The fourth proportional to 1,855.62, 2,782.92 and 557.10 is: 835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.62 : 2,782.92 = 557.10 : x
  2. Step 2: Convert to fraction form
    1,855.62/2,782.92 = 557.10/x
  3. Step 3: Cross multiply
    1,855.62x = 2,782.92 × 557.10
  4. Step 4: Simplify right side
    1,855.62x = 1,550,364.73
  5. Step 5: Solve for x
    x = 1,550,364.73/1,855.62
  6. Step 6: Final answer
    x = 835.50

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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.