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Finding the Fourth Proportional to 687.57, 949.23 and 466.85

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Solution

The fourth proportional to 687.57, 949.23 and 466.85 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.57 : 949.23 = 466.85 : x
  2. Step 2: Convert to fraction form
    687.57/949.23 = 466.85/x
  3. Step 3: Cross multiply
    687.57x = 949.23 × 466.85
  4. Step 4: Simplify right side
    687.57x = 443,143.28
  5. Step 5: Solve for x
    x = 443,143.28/687.57
  6. Step 6: Final answer
    x = 644.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.