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Finding the Fourth Proportional to 557.12, 834.47 and 482.12

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Solution

The fourth proportional to 557.12, 834.47 and 482.12 is: 722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.12 : 834.47 = 482.12 : x
  2. Step 2: Convert to fraction form
    557.12/834.47 = 482.12/x
  3. Step 3: Cross multiply
    557.12x = 834.47 × 482.12
  4. Step 4: Simplify right side
    557.12x = 402,308.09
  5. Step 5: Solve for x
    x = 402,308.09/557.12
  6. Step 6: Final answer
    x = 722.12

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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.