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Finding the Fourth Proportional to 527.58, 728.13 and 380.70

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Solution

The fourth proportional to 527.58, 728.13 and 380.70 is: 525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.58 : 728.13 = 380.70 : x
  2. Step 2: Convert to fraction form
    527.58/728.13 = 380.70/x
  3. Step 3: Cross multiply
    527.58x = 728.13 × 380.70
  4. Step 4: Simplify right side
    527.58x = 277,199.09
  5. Step 5: Solve for x
    x = 277,199.09/527.58
  6. Step 6: Final answer
    x = 525.42

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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.