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Finding the Fourth Proportional to 1,696.66, 2,545.80 and 830.50

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Solution

The fourth proportional to 1,696.66, 2,545.80 and 830.50 is: 1,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.66 : 2,545.80 = 830.50 : x
  2. Step 2: Convert to fraction form
    1,696.66/2,545.80 = 830.50/x
  3. Step 3: Cross multiply
    1,696.66x = 2,545.80 × 830.50
  4. Step 4: Simplify right side
    1,696.66x = 2,114,286.90
  5. Step 5: Solve for x
    x = 2,114,286.90/1,696.66
  6. Step 6: Final answer
    x = 1,246.15

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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.