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Finding the Fourth Proportional to 588.63, 812.01 and 402.09

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Solution

The fourth proportional to 588.63, 812.01 and 402.09 is: 554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.63 : 812.01 = 402.09 : x
  2. Step 2: Convert to fraction form
    588.63/812.01 = 402.09/x
  3. Step 3: Cross multiply
    588.63x = 812.01 × 402.09
  4. Step 4: Simplify right side
    588.63x = 326,501.10
  5. Step 5: Solve for x
    x = 326,501.10/588.63
  6. Step 6: Final answer
    x = 554.68

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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.