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Finding the Fourth Proportional to 921.08, 1,270.50 and 566.84

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Solution

The fourth proportional to 921.08, 1,270.50 and 566.84 is: 781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.08 : 1,270.50 = 566.84 : x
  2. Step 2: Convert to fraction form
    921.08/1,270.50 = 566.84/x
  3. Step 3: Cross multiply
    921.08x = 1,270.50 × 566.84
  4. Step 4: Simplify right side
    921.08x = 720,170.22
  5. Step 5: Solve for x
    x = 720,170.22/921.08
  6. Step 6: Final answer
    x = 781.88

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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.