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Finding the Fourth Proportional to 1,855.76, 2,784.12 and 557.12

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Solution

The fourth proportional to 1,855.76, 2,784.12 and 557.12 is: 835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.76 : 2,784.12 = 557.12 : x
  2. Step 2: Convert to fraction form
    1,855.76/2,784.12 = 557.12/x
  3. Step 3: Cross multiply
    1,855.76x = 2,784.12 × 557.12
  4. Step 4: Simplify right side
    1,855.76x = 1,551,088.93
  5. Step 5: Solve for x
    x = 1,551,088.93/1,855.76
  6. Step 6: Final answer
    x = 835.82

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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.