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Finding the Fourth Proportional to 866.57, 1,298.94 and 821.00

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Solution

The fourth proportional to 866.57, 1,298.94 and 821.00 is: 1,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.57 : 1,298.94 = 821.00 : x
  2. Step 2: Convert to fraction form
    866.57/1,298.94 = 821.00/x
  3. Step 3: Cross multiply
    866.57x = 1,298.94 × 821.00
  4. Step 4: Simplify right side
    866.57x = 1,066,429.91
  5. Step 5: Solve for x
    x = 1,066,429.91/866.57
  6. Step 6: Final answer
    x = 1,230.64

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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.