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Finding the Fourth Proportional to 588.75, 812.37 and 340.10

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Solution

The fourth proportional to 588.75, 812.37 and 340.10 is: 469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.75 : 812.37 = 340.10 : x
  2. Step 2: Convert to fraction form
    588.75/812.37 = 340.10/x
  3. Step 3: Cross multiply
    588.75x = 812.37 × 340.10
  4. Step 4: Simplify right side
    588.75x = 276,287.30
  5. Step 5: Solve for x
    x = 276,287.30/588.75
  6. Step 6: Final answer
    x = 469.28

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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.