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Finding the Fourth Proportional to 682.20, 923.85 and 682.20

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Solution

The fourth proportional to 682.20, 923.85 and 682.20 is: 923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.20 : 923.85 = 682.20 : x
  2. Step 2: Convert to fraction form
    682.20/923.85 = 682.20/x
  3. Step 3: Cross multiply
    682.20x = 923.85 × 682.20
  4. Step 4: Simplify right side
    682.20x = 630,250.47
  5. Step 5: Solve for x
    x = 630,250.47/682.20
  6. Step 6: Final answer
    x = 923.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.