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Finding the Fourth Proportional to 588.58, 812.10 and 401.74

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Solution

The fourth proportional to 588.58, 812.10 and 401.74 is: 554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.58 : 812.10 = 401.74 : x
  2. Step 2: Convert to fraction form
    588.58/812.10 = 401.74/x
  3. Step 3: Cross multiply
    588.58x = 812.10 × 401.74
  4. Step 4: Simplify right side
    588.58x = 326,253.05
  5. Step 5: Solve for x
    x = 326,253.05/588.58
  6. Step 6: Final answer
    x = 554.31

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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.