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Finding the Fourth Proportional to 565.71, 851.54 and 482.19

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Solution

The fourth proportional to 565.71, 851.54 and 482.19 is: 725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.71 : 851.54 = 482.19 : x
  2. Step 2: Convert to fraction form
    565.71/851.54 = 482.19/x
  3. Step 3: Cross multiply
    565.71x = 851.54 × 482.19
  4. Step 4: Simplify right side
    565.71x = 410,605.28
  5. Step 5: Solve for x
    x = 410,605.28/565.71
  6. Step 6: Final answer
    x = 725.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.