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Finding the Fourth Proportional to 527.18, 787.71 and 380.23

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Solution

The fourth proportional to 527.18, 787.71 and 380.23 is: 568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.18 : 787.71 = 380.23 : x
  2. Step 2: Convert to fraction form
    527.18/787.71 = 380.23/x
  3. Step 3: Cross multiply
    527.18x = 787.71 × 380.23
  4. Step 4: Simplify right side
    527.18x = 299,510.43
  5. Step 5: Solve for x
    x = 299,510.43/527.18
  6. Step 6: Final answer
    x = 568.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.