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Finding the Fourth Proportional to 1,856.60, 2,784.08 and 557.82

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Solution

The fourth proportional to 1,856.60, 2,784.08 and 557.82 is: 836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.60 : 2,784.08 = 557.82 : x
  2. Step 2: Convert to fraction form
    1,856.60/2,784.08 = 557.82/x
  3. Step 3: Cross multiply
    1,856.60x = 2,784.08 × 557.82
  4. Step 4: Simplify right side
    1,856.60x = 1,553,015.51
  5. Step 5: Solve for x
    x = 1,553,015.51/1,856.60
  6. Step 6: Final answer
    x = 836.48

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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.