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Finding the Fourth Proportional to 522.86, 784.89 and 407.43

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Solution

The fourth proportional to 522.86, 784.89 and 407.43 is: 611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 784.89 = 407.43 : x
  2. Step 2: Convert to fraction form
    522.86/784.89 = 407.43/x
  3. Step 3: Cross multiply
    522.86x = 784.89 × 407.43
  4. Step 4: Simplify right side
    522.86x = 319,787.73
  5. Step 5: Solve for x
    x = 319,787.73/522.86
  6. Step 6: Final answer
    x = 611.62

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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.