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Finding the Fourth Proportional to 528.05, 728.04 and 403.52

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Solution

The fourth proportional to 528.05, 728.04 and 403.52 is: 556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.05 : 728.04 = 403.52 : x
  2. Step 2: Convert to fraction form
    528.05/728.04 = 403.52/x
  3. Step 3: Cross multiply
    528.05x = 728.04 × 403.52
  4. Step 4: Simplify right side
    528.05x = 293,775.06
  5. Step 5: Solve for x
    x = 293,775.06/528.05
  6. Step 6: Final answer
    x = 556.34

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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.