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Finding the Fourth Proportional to 527.59, 728.46 and 341.19

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Solution

The fourth proportional to 527.59, 728.46 and 341.19 is: 471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.59 : 728.46 = 341.19 : x
  2. Step 2: Convert to fraction form
    527.59/728.46 = 341.19/x
  3. Step 3: Cross multiply
    527.59x = 728.46 × 341.19
  4. Step 4: Simplify right side
    527.59x = 248,543.27
  5. Step 5: Solve for x
    x = 248,543.27/527.59
  6. Step 6: Final answer
    x = 471.09

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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.