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Finding the Fourth Proportional to 527.70, 787.78 and 489.62

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Solution

The fourth proportional to 527.70, 787.78 and 489.62 is: 730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.70 : 787.78 = 489.62 : x
  2. Step 2: Convert to fraction form
    527.70/787.78 = 489.62/x
  3. Step 3: Cross multiply
    527.70x = 787.78 × 489.62
  4. Step 4: Simplify right side
    527.70x = 385,712.84
  5. Step 5: Solve for x
    x = 385,712.84/527.70
  6. Step 6: Final answer
    x = 730.93

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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.