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Finding the Fourth Proportional to 937.66, 1,405.78 and 567.39

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Solution

The fourth proportional to 937.66, 1,405.78 and 567.39 is: 850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.66 : 1,405.78 = 567.39 : x
  2. Step 2: Convert to fraction form
    937.66/1,405.78 = 567.39/x
  3. Step 3: Cross multiply
    937.66x = 1,405.78 × 567.39
  4. Step 4: Simplify right side
    937.66x = 797,625.51
  5. Step 5: Solve for x
    x = 797,625.51/937.66
  6. Step 6: Final answer
    x = 850.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.