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Finding the Fourth Proportional to 532.06, 733.75 and 419.82

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Solution

The fourth proportional to 532.06, 733.75 and 419.82 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.06 : 733.75 = 419.82 : x
  2. Step 2: Convert to fraction form
    532.06/733.75 = 419.82/x
  3. Step 3: Cross multiply
    532.06x = 733.75 × 419.82
  4. Step 4: Simplify right side
    532.06x = 308,042.93
  5. Step 5: Solve for x
    x = 308,042.93/532.06
  6. Step 6: Final answer
    x = 578.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.