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Finding the Fourth Proportional to 523.90, 785.87 and 463.78

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Solution

The fourth proportional to 523.90, 785.87 and 463.78 is: 695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.90 : 785.87 = 463.78 : x
  2. Step 2: Convert to fraction form
    523.90/785.87 = 463.78/x
  3. Step 3: Cross multiply
    523.90x = 785.87 × 463.78
  4. Step 4: Simplify right side
    523.90x = 364,470.79
  5. Step 5: Solve for x
    x = 364,470.79/523.90
  6. Step 6: Final answer
    x = 695.69

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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.