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Finding the Fourth Proportional to 2,056.70, 3,085.04 and 517.70

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Solution

The fourth proportional to 2,056.70, 3,085.04 and 517.70 is: 776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.70 : 3,085.04 = 517.70 : x
  2. Step 2: Convert to fraction form
    2,056.70/3,085.04 = 517.70/x
  3. Step 3: Cross multiply
    2,056.70x = 3,085.04 × 517.70
  4. Step 4: Simplify right side
    2,056.70x = 1,597,125.21
  5. Step 5: Solve for x
    x = 1,597,125.21/2,056.70
  6. Step 6: Final answer
    x = 776.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.