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Finding the Fourth Proportional to 1,300.71, 1,951.52 and 813.19

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Solution

The fourth proportional to 1,300.71, 1,951.52 and 813.19 is: 1,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.71 : 1,951.52 = 813.19 : x
  2. Step 2: Convert to fraction form
    1,300.71/1,951.52 = 813.19/x
  3. Step 3: Cross multiply
    1,300.71x = 1,951.52 × 813.19
  4. Step 4: Simplify right side
    1,300.71x = 1,586,956.55
  5. Step 5: Solve for x
    x = 1,586,956.55/1,300.71
  6. Step 6: Final answer
    x = 1,220.07

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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.