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Finding the Fourth Proportional to 811.65, 1,216.04 and 553.89

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Solution

The fourth proportional to 811.65, 1,216.04 and 553.89 is: 829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.65 : 1,216.04 = 553.89 : x
  2. Step 2: Convert to fraction form
    811.65/1,216.04 = 553.89/x
  3. Step 3: Cross multiply
    811.65x = 1,216.04 × 553.89
  4. Step 4: Simplify right side
    811.65x = 673,549.63
  5. Step 5: Solve for x
    x = 673,549.63/811.65
  6. Step 6: Final answer
    x = 829.85

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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.