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Finding the Fourth Proportional to 527.42, 728.10 and 380.40

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Solution

The fourth proportional to 527.42, 728.10 and 380.40 is: 525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.42 : 728.10 = 380.40 : x
  2. Step 2: Convert to fraction form
    527.42/728.10 = 380.40/x
  3. Step 3: Cross multiply
    527.42x = 728.10 × 380.40
  4. Step 4: Simplify right side
    527.42x = 276,969.24
  5. Step 5: Solve for x
    x = 276,969.24/527.42
  6. Step 6: Final answer
    x = 525.14

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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.