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Finding the Fourth Proportional to 588.42, 811.22 and 470.79

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Solution

The fourth proportional to 588.42, 811.22 and 470.79 is: 649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.42 : 811.22 = 470.79 : x
  2. Step 2: Convert to fraction form
    588.42/811.22 = 470.79/x
  3. Step 3: Cross multiply
    588.42x = 811.22 × 470.79
  4. Step 4: Simplify right side
    588.42x = 381,911.91
  5. Step 5: Solve for x
    x = 381,911.91/588.42
  6. Step 6: Final answer
    x = 649.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.