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Finding the Fourth Proportional to 934.22, 1,400.10 and 385.64

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Solution

The fourth proportional to 934.22, 1,400.10 and 385.64 is: 577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.22 : 1,400.10 = 385.64 : x
  2. Step 2: Convert to fraction form
    934.22/1,400.10 = 385.64/x
  3. Step 3: Cross multiply
    934.22x = 1,400.10 × 385.64
  4. Step 4: Simplify right side
    934.22x = 539,938.06
  5. Step 5: Solve for x
    x = 539,938.06/934.22
  6. Step 6: Final answer
    x = 577.96

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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.