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Finding the Fourth Proportional to 528.15, 728.43 and 341.66

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Solution

The fourth proportional to 528.15, 728.43 and 341.66 is: 471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.15 : 728.43 = 341.66 : x
  2. Step 2: Convert to fraction form
    528.15/728.43 = 341.66/x
  3. Step 3: Cross multiply
    528.15x = 728.43 × 341.66
  4. Step 4: Simplify right side
    528.15x = 248,870.04
  5. Step 5: Solve for x
    x = 248,870.04/528.15
  6. Step 6: Final answer
    x = 471.22

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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.