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Finding the Fourth Proportional to 933.43, 1,398.32 and 567.31

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Solution

The fourth proportional to 933.43, 1,398.32 and 567.31 is: 849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.43 : 1,398.32 = 567.31 : x
  2. Step 2: Convert to fraction form
    933.43/1,398.32 = 567.31/x
  3. Step 3: Cross multiply
    933.43x = 1,398.32 × 567.31
  4. Step 4: Simplify right side
    933.43x = 793,271.09
  5. Step 5: Solve for x
    x = 793,271.09/933.43
  6. Step 6: Final answer
    x = 849.85

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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.