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Finding the Fourth Proportional to 588.73, 812.35 and 340.04

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Solution

The fourth proportional to 588.73, 812.35 and 340.04 is: 469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.73 : 812.35 = 340.04 : x
  2. Step 2: Convert to fraction form
    588.73/812.35 = 340.04/x
  3. Step 3: Cross multiply
    588.73x = 812.35 × 340.04
  4. Step 4: Simplify right side
    588.73x = 276,231.49
  5. Step 5: Solve for x
    x = 276,231.49/588.73
  6. Step 6: Final answer
    x = 469.20

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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.