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Finding the Fourth Proportional to 588.76, 812.13 and 389.60

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Solution

The fourth proportional to 588.76, 812.13 and 389.60 is: 537.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.76 : 812.13 = 389.60 : x
  2. Step 2: Convert to fraction form
    588.76/812.13 = 389.60/x
  3. Step 3: Cross multiply
    588.76x = 812.13 × 389.60
  4. Step 4: Simplify right side
    588.76x = 316,405.85
  5. Step 5: Solve for x
    x = 316,405.85/588.76
  6. Step 6: Final answer
    x = 537.41

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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.