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Finding the Fourth Proportional to 969.92, 1,455.12 and 392.96

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Solution

The fourth proportional to 969.92, 1,455.12 and 392.96 is: 589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.92 : 1,455.12 = 392.96 : x
  2. Step 2: Convert to fraction form
    969.92/1,455.12 = 392.96/x
  3. Step 3: Cross multiply
    969.92x = 1,455.12 × 392.96
  4. Step 4: Simplify right side
    969.92x = 571,803.96
  5. Step 5: Solve for x
    x = 571,803.96/969.92
  6. Step 6: Final answer
    x = 589.54

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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.