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Finding the Fourth Proportional to 588.42, 812.56 and 378.96

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Solution

The fourth proportional to 588.42, 812.56 and 378.96 is: 523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.42 : 812.56 = 378.96 : x
  2. Step 2: Convert to fraction form
    588.42/812.56 = 378.96/x
  3. Step 3: Cross multiply
    588.42x = 812.56 × 378.96
  4. Step 4: Simplify right side
    588.42x = 307,927.80
  5. Step 5: Solve for x
    x = 307,927.80/588.42
  6. Step 6: Final answer
    x = 523.32

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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.