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Finding the Fourth Proportional to 523.80, 784.65 and 393.93

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Solution

The fourth proportional to 523.80, 784.65 and 393.93 is: 590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.80 : 784.65 = 393.93 : x
  2. Step 2: Convert to fraction form
    523.80/784.65 = 393.93/x
  3. Step 3: Cross multiply
    523.80x = 784.65 × 393.93
  4. Step 4: Simplify right side
    523.80x = 309,098.65
  5. Step 5: Solve for x
    x = 309,098.65/523.80
  6. Step 6: Final answer
    x = 590.11

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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.