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Finding the Fourth Proportional to 527.61, 787.09 and 490.32

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Solution

The fourth proportional to 527.61, 787.09 and 490.32 is: 731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.61 : 787.09 = 490.32 : x
  2. Step 2: Convert to fraction form
    527.61/787.09 = 490.32/x
  3. Step 3: Cross multiply
    527.61x = 787.09 × 490.32
  4. Step 4: Simplify right side
    527.61x = 385,925.97
  5. Step 5: Solve for x
    x = 385,925.97/527.61
  6. Step 6: Final answer
    x = 731.46

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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.