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Finding the Fourth Proportional to 588.97, 812.68 and 340.19

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Solution

The fourth proportional to 588.97, 812.68 and 340.19 is: 469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.97 : 812.68 = 340.19 : x
  2. Step 2: Convert to fraction form
    588.97/812.68 = 340.19/x
  3. Step 3: Cross multiply
    588.97x = 812.68 × 340.19
  4. Step 4: Simplify right side
    588.97x = 276,460.70
  5. Step 5: Solve for x
    x = 276,460.70/588.97
  6. Step 6: Final answer
    x = 469.40

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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.