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Finding the Fourth Proportional to 529.36, 792.66 and 426.08

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Solution

The fourth proportional to 529.36, 792.66 and 426.08 is: 638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.36 : 792.66 = 426.08 : x
  2. Step 2: Convert to fraction form
    529.36/792.66 = 426.08/x
  3. Step 3: Cross multiply
    529.36x = 792.66 × 426.08
  4. Step 4: Simplify right side
    529.36x = 337,736.57
  5. Step 5: Solve for x
    x = 337,736.57/529.36
  6. Step 6: Final answer
    x = 638.01

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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.