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Finding the Fourth Proportional to 410.82, 616.77 and 393.45

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Solution

The fourth proportional to 410.82, 616.77 and 393.45 is: 590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.82 : 616.77 = 393.45 : x
  2. Step 2: Convert to fraction form
    410.82/616.77 = 393.45/x
  3. Step 3: Cross multiply
    410.82x = 616.77 × 393.45
  4. Step 4: Simplify right side
    410.82x = 242,668.16
  5. Step 5: Solve for x
    x = 242,668.16/410.82
  6. Step 6: Final answer
    x = 590.69

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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.