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Finding the Fourth Proportional to 1,904.46, 2,856.54 and 517.74

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Solution

The fourth proportional to 1,904.46, 2,856.54 and 517.74 is: 776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.46 : 2,856.54 = 517.74 : x
  2. Step 2: Convert to fraction form
    1,904.46/2,856.54 = 517.74/x
  3. Step 3: Cross multiply
    1,904.46x = 2,856.54 × 517.74
  4. Step 4: Simplify right side
    1,904.46x = 1,478,945.02
  5. Step 5: Solve for x
    x = 1,478,945.02/1,904.46
  6. Step 6: Final answer
    x = 776.57

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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.