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Finding the Fourth Proportional to 528.48, 790.99 and 293.83

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Solution

The fourth proportional to 528.48, 790.99 and 293.83 is: 439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.48 : 790.99 = 293.83 : x
  2. Step 2: Convert to fraction form
    528.48/790.99 = 293.83/x
  3. Step 3: Cross multiply
    528.48x = 790.99 × 293.83
  4. Step 4: Simplify right side
    528.48x = 232,416.59
  5. Step 5: Solve for x
    x = 232,416.59/528.48
  6. Step 6: Final answer
    x = 439.78

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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.