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Finding the Fourth Proportional to 528.86, 728.79 and 404.66

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Solution

The fourth proportional to 528.86, 728.79 and 404.66 is: 557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.86 : 728.79 = 404.66 : x
  2. Step 2: Convert to fraction form
    528.86/728.79 = 404.66/x
  3. Step 3: Cross multiply
    528.86x = 728.79 × 404.66
  4. Step 4: Simplify right side
    528.86x = 294,912.16
  5. Step 5: Solve for x
    x = 294,912.16/528.86
  6. Step 6: Final answer
    x = 557.64

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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.