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Finding the Fourth Proportional to 522.63, 784.86 and 307.56

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Solution

The fourth proportional to 522.63, 784.86 and 307.56 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.63 : 784.86 = 307.56 : x
  2. Step 2: Convert to fraction form
    522.63/784.86 = 307.56/x
  3. Step 3: Cross multiply
    522.63x = 784.86 × 307.56
  4. Step 4: Simplify right side
    522.63x = 241,391.54
  5. Step 5: Solve for x
    x = 241,391.54/522.63
  6. Step 6: Final answer
    x = 461.88

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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.