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Finding the Fourth Proportional to 882.02, 1,216.09 and 566.73

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Solution

The fourth proportional to 882.02, 1,216.09 and 566.73 is: 781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.02 : 1,216.09 = 566.73 : x
  2. Step 2: Convert to fraction form
    882.02/1,216.09 = 566.73/x
  3. Step 3: Cross multiply
    882.02x = 1,216.09 × 566.73
  4. Step 4: Simplify right side
    882.02x = 689,193.27
  5. Step 5: Solve for x
    x = 689,193.27/882.02
  6. Step 6: Final answer
    x = 781.38

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Double scale
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1.5x scale

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.