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Finding the Fourth Proportional to 588.16, 811.38 and 378.28

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Solution

The fourth proportional to 588.16, 811.38 and 378.28 is: 521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.16 : 811.38 = 378.28 : x
  2. Step 2: Convert to fraction form
    588.16/811.38 = 378.28/x
  3. Step 3: Cross multiply
    588.16x = 811.38 × 378.28
  4. Step 4: Simplify right side
    588.16x = 306,928.83
  5. Step 5: Solve for x
    x = 306,928.83/588.16
  6. Step 6: Final answer
    x = 521.85

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Double scale
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1.5x scale

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.