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Finding the Fourth Proportional to 1,206.47, 1,665.20 and 682.67

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Solution

The fourth proportional to 1,206.47, 1,665.20 and 682.67 is: 942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.47 : 1,665.20 = 682.67 : x
  2. Step 2: Convert to fraction form
    1,206.47/1,665.20 = 682.67/x
  3. Step 3: Cross multiply
    1,206.47x = 1,665.20 × 682.67
  4. Step 4: Simplify right side
    1,206.47x = 1,136,775.46
  5. Step 5: Solve for x
    x = 1,136,775.46/1,206.47
  6. Step 6: Final answer
    x = 942.24

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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.