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Finding the Fourth Proportional to 588.65, 812.43 and 378.77

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Solution

The fourth proportional to 588.65, 812.43 and 378.77 is: 522.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.65 : 812.43 = 378.77 : x
  2. Step 2: Convert to fraction form
    588.65/812.43 = 378.77/x
  3. Step 3: Cross multiply
    588.65x = 812.43 × 378.77
  4. Step 4: Simplify right side
    588.65x = 307,720.05
  5. Step 5: Solve for x
    x = 307,720.05/588.65
  6. Step 6: Final answer
    x = 522.76

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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.