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Finding the Fourth Proportional to 631.02, 946.96 and 323.06

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Solution

The fourth proportional to 631.02, 946.96 and 323.06 is: 484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.02 : 946.96 = 323.06 : x
  2. Step 2: Convert to fraction form
    631.02/946.96 = 323.06/x
  3. Step 3: Cross multiply
    631.02x = 946.96 × 323.06
  4. Step 4: Simplify right side
    631.02x = 305,927.35
  5. Step 5: Solve for x
    x = 305,927.35/631.02
  6. Step 6: Final answer
    x = 484.82

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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.