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Finding the Fourth Proportional to 528.81, 793.23 and 312.27

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Solution

The fourth proportional to 528.81, 793.23 and 312.27 is: 468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.81 : 793.23 = 312.27 : x
  2. Step 2: Convert to fraction form
    528.81/793.23 = 312.27/x
  3. Step 3: Cross multiply
    528.81x = 793.23 × 312.27
  4. Step 4: Simplify right side
    528.81x = 247,701.93
  5. Step 5: Solve for x
    x = 247,701.93/528.81
  6. Step 6: Final answer
    x = 468.41

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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.