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Finding the Fourth Proportional to 656.92, 983.61 and 424.54

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Solution

The fourth proportional to 656.92, 983.61 and 424.54 is: 635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.92 : 983.61 = 424.54 : x
  2. Step 2: Convert to fraction form
    656.92/983.61 = 424.54/x
  3. Step 3: Cross multiply
    656.92x = 983.61 × 424.54
  4. Step 4: Simplify right side
    656.92x = 417,581.79
  5. Step 5: Solve for x
    x = 417,581.79/656.92
  6. Step 6: Final answer
    x = 635.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.