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Finding the Fourth Proportional to 816.41, 1,126.97 and 567.87

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Solution

The fourth proportional to 816.41, 1,126.97 and 567.87 is: 783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.41 : 1,126.97 = 567.87 : x
  2. Step 2: Convert to fraction form
    816.41/1,126.97 = 567.87/x
  3. Step 3: Cross multiply
    816.41x = 1,126.97 × 567.87
  4. Step 4: Simplify right side
    816.41x = 639,973.60
  5. Step 5: Solve for x
    x = 639,973.60/816.41
  6. Step 6: Final answer
    x = 783.89

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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.