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Finding the Fourth Proportional to 527.20, 786.93 and 489.17

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Solution

The fourth proportional to 527.20, 786.93 and 489.17 is: 730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.20 : 786.93 = 489.17 : x
  2. Step 2: Convert to fraction form
    527.20/786.93 = 489.17/x
  3. Step 3: Cross multiply
    527.20x = 786.93 × 489.17
  4. Step 4: Simplify right side
    527.20x = 384,942.55
  5. Step 5: Solve for x
    x = 384,942.55/527.20
  6. Step 6: Final answer
    x = 730.16

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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.