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Finding the Fourth Proportional to 588.67, 812.26 and 340

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Solution

The fourth proportional to 588.67, 812.26 and 340 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.67 : 812.26 = 340 : x
  2. Step 2: Convert to fraction form
    588.67/812.26 = 340/x
  3. Step 3: Cross multiply
    588.67x = 812.26 × 340
  4. Step 4: Simplify right side
    588.67x = 276,168.40
  5. Step 5: Solve for x
    x = 276,168.40/588.67
  6. Step 6: Final answer
    x = 469.14

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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.