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Finding the Fourth Proportional to 682.70, 946.96 and 658.13

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Solution

The fourth proportional to 682.70, 946.96 and 658.13 is: 912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.70 : 946.96 = 658.13 : x
  2. Step 2: Convert to fraction form
    682.70/946.96 = 658.13/x
  3. Step 3: Cross multiply
    682.70x = 946.96 × 658.13
  4. Step 4: Simplify right side
    682.70x = 623,216.40
  5. Step 5: Solve for x
    x = 623,216.40/682.70
  6. Step 6: Final answer
    x = 912.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.