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Finding the Fourth Proportional to 882.31, 1,216.44 and 567.01

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Solution

The fourth proportional to 882.31, 1,216.44 and 567.01 is: 781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.31 : 1,216.44 = 567.01 : x
  2. Step 2: Convert to fraction form
    882.31/1,216.44 = 567.01/x
  3. Step 3: Cross multiply
    882.31x = 1,216.44 × 567.01
  4. Step 4: Simplify right side
    882.31x = 689,733.64
  5. Step 5: Solve for x
    x = 689,733.64/882.31
  6. Step 6: Final answer
    x = 781.74

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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.