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Finding the Fourth Proportional to 527.21, 787.16 and 494.40

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Solution

The fourth proportional to 527.21, 787.16 and 494.40 is: 738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.21 : 787.16 = 494.40 : x
  2. Step 2: Convert to fraction form
    527.21/787.16 = 494.40/x
  3. Step 3: Cross multiply
    527.21x = 787.16 × 494.40
  4. Step 4: Simplify right side
    527.21x = 389,169.43
  5. Step 5: Solve for x
    x = 389,169.43/527.21
  6. Step 6: Final answer
    x = 738.17

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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.