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Finding the Fourth Proportional to 642.92, 964.46 and 318.28

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Solution

The fourth proportional to 642.92, 964.46 and 318.28 is: 477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.92 : 964.46 = 318.28 : x
  2. Step 2: Convert to fraction form
    642.92/964.46 = 318.28/x
  3. Step 3: Cross multiply
    642.92x = 964.46 × 318.28
  4. Step 4: Simplify right side
    642.92x = 306,968.33
  5. Step 5: Solve for x
    x = 306,968.33/642.92
  6. Step 6: Final answer
    x = 477.46

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1.5x scale

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.