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Finding the Fourth Proportional to 588.80, 812.54 and 340.12

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Solution

The fourth proportional to 588.80, 812.54 and 340.12 is: 469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.80 : 812.54 = 340.12 : x
  2. Step 2: Convert to fraction form
    588.80/812.54 = 340.12/x
  3. Step 3: Cross multiply
    588.80x = 812.54 × 340.12
  4. Step 4: Simplify right side
    588.80x = 276,361.10
  5. Step 5: Solve for x
    x = 276,361.10/588.80
  6. Step 6: Final answer
    x = 469.36

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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.