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Finding the Fourth Proportional to 1,856.61, 2,784.61 and 557.85

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Solution

The fourth proportional to 1,856.61, 2,784.61 and 557.85 is: 836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.61 : 2,784.61 = 557.85 : x
  2. Step 2: Convert to fraction form
    1,856.61/2,784.61 = 557.85/x
  3. Step 3: Cross multiply
    1,856.61x = 2,784.61 × 557.85
  4. Step 4: Simplify right side
    1,856.61x = 1,553,394.69
  5. Step 5: Solve for x
    x = 1,553,394.69/1,856.61
  6. Step 6: Final answer
    x = 836.68

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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.