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Finding the Fourth Proportional to 1,855.68, 2,783.40 and 557.12

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Solution

The fourth proportional to 1,855.68, 2,783.40 and 557.12 is: 835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.68 : 2,783.40 = 557.12 : x
  2. Step 2: Convert to fraction form
    1,855.68/2,783.40 = 557.12/x
  3. Step 3: Cross multiply
    1,855.68x = 2,783.40 × 557.12
  4. Step 4: Simplify right side
    1,855.68x = 1,550,687.81
  5. Step 5: Solve for x
    x = 1,550,687.81/1,855.68
  6. Step 6: Final answer
    x = 835.64

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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.