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Finding the Fourth Proportional to 588.90, 883.36 and 406.12

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Solution

The fourth proportional to 588.90, 883.36 and 406.12 is: 609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.90 : 883.36 = 406.12 : x
  2. Step 2: Convert to fraction form
    588.90/883.36 = 406.12/x
  3. Step 3: Cross multiply
    588.90x = 883.36 × 406.12
  4. Step 4: Simplify right side
    588.90x = 358,750.16
  5. Step 5: Solve for x
    x = 358,750.16/588.90
  6. Step 6: Final answer
    x = 609.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.