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Finding the Fourth Proportional to 528.24, 728.72 and 395.68

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Solution

The fourth proportional to 528.24, 728.72 and 395.68 is: 545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.24 : 728.72 = 395.68 : x
  2. Step 2: Convert to fraction form
    528.24/728.72 = 395.68/x
  3. Step 3: Cross multiply
    528.24x = 728.72 × 395.68
  4. Step 4: Simplify right side
    528.24x = 288,339.93
  5. Step 5: Solve for x
    x = 288,339.93/528.24
  6. Step 6: Final answer
    x = 545.85

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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.