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Finding the Fourth Proportional to 588.76, 811.77 and 477.94

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Solution

The fourth proportional to 588.76, 811.77 and 477.94 is: 658.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.76 : 811.77 = 477.94 : x
  2. Step 2: Convert to fraction form
    588.76/811.77 = 477.94/x
  3. Step 3: Cross multiply
    588.76x = 811.77 × 477.94
  4. Step 4: Simplify right side
    588.76x = 387,977.35
  5. Step 5: Solve for x
    x = 387,977.35/588.76
  6. Step 6: Final answer
    x = 658.97

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Find fourth proportional to 294.38, 405.89 and 238.97
Half scale
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Double scale
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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.