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Finding the Fourth Proportional to 556.31, 833.57 and 382.36

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Solution

The fourth proportional to 556.31, 833.57 and 382.36 is: 572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.31 : 833.57 = 382.36 : x
  2. Step 2: Convert to fraction form
    556.31/833.57 = 382.36/x
  3. Step 3: Cross multiply
    556.31x = 833.57 × 382.36
  4. Step 4: Simplify right side
    556.31x = 318,723.83
  5. Step 5: Solve for x
    x = 318,723.83/556.31
  6. Step 6: Final answer
    x = 572.92

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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.