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Finding the Fourth Proportional to 817.59, 1,228.65 and 813.10

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Solution

The fourth proportional to 817.59, 1,228.65 and 813.10 is: 1,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.59 : 1,228.65 = 813.10 : x
  2. Step 2: Convert to fraction form
    817.59/1,228.65 = 813.10/x
  3. Step 3: Cross multiply
    817.59x = 1,228.65 × 813.10
  4. Step 4: Simplify right side
    817.59x = 999,011.25
  5. Step 5: Solve for x
    x = 999,011.25/817.59
  6. Step 6: Final answer
    x = 1,221.90

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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.