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Finding the Fourth Proportional to 631.48, 946.92 and 323.44

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Solution

The fourth proportional to 631.48, 946.92 and 323.44 is: 485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.48 : 946.92 = 323.44 : x
  2. Step 2: Convert to fraction form
    631.48/946.92 = 323.44/x
  3. Step 3: Cross multiply
    631.48x = 946.92 × 323.44
  4. Step 4: Simplify right side
    631.48x = 306,271.80
  5. Step 5: Solve for x
    x = 306,271.80/631.48
  6. Step 6: Final answer
    x = 485.01

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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.