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Finding the Fourth Proportional to 588.64, 811.65 and 477.77

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Solution

The fourth proportional to 588.64, 811.65 and 477.77 is: 658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.64 : 811.65 = 477.77 : x
  2. Step 2: Convert to fraction form
    588.64/811.65 = 477.77/x
  3. Step 3: Cross multiply
    588.64x = 811.65 × 477.77
  4. Step 4: Simplify right side
    588.64x = 387,782.02
  5. Step 5: Solve for x
    x = 387,782.02/588.64
  6. Step 6: Final answer
    x = 658.78

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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.