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Finding the Fourth Proportional to 810.57, 1,119.00 and 633.21

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Solution

The fourth proportional to 810.57, 1,119.00 and 633.21 is: 874.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.57 : 1,119.00 = 633.21 : x
  2. Step 2: Convert to fraction form
    810.57/1,119.00 = 633.21/x
  3. Step 3: Cross multiply
    810.57x = 1,119.00 × 633.21
  4. Step 4: Simplify right side
    810.57x = 708,558.82
  5. Step 5: Solve for x
    x = 708,558.82/810.57
  6. Step 6: Final answer
    x = 874.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.