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Finding the Fourth Proportional to 800.01, 1,103.05 and 556.88

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Solution

The fourth proportional to 800.01, 1,103.05 and 556.88 is: 767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.01 : 1,103.05 = 556.88 : x
  2. Step 2: Convert to fraction form
    800.01/1,103.05 = 556.88/x
  3. Step 3: Cross multiply
    800.01x = 1,103.05 × 556.88
  4. Step 4: Simplify right side
    800.01x = 614,261.66
  5. Step 5: Solve for x
    x = 614,261.66/800.01
  6. Step 6: Final answer
    x = 767.82

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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.