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Finding the Fourth Proportional to 528.42, 728.67 and 404.04

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Solution

The fourth proportional to 528.42, 728.67 and 404.04 is: 557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.42 : 728.67 = 404.04 : x
  2. Step 2: Convert to fraction form
    528.42/728.67 = 404.04/x
  3. Step 3: Cross multiply
    528.42x = 728.67 × 404.04
  4. Step 4: Simplify right side
    528.42x = 294,411.83
  5. Step 5: Solve for x
    x = 294,411.83/528.42
  6. Step 6: Final answer
    x = 557.15

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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.