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Finding the Fourth Proportional to 631.28, 946.36 and 322.98

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Solution

The fourth proportional to 631.28, 946.36 and 322.98 is: 484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.28 : 946.36 = 322.98 : x
  2. Step 2: Convert to fraction form
    631.28/946.36 = 322.98/x
  3. Step 3: Cross multiply
    631.28x = 946.36 × 322.98
  4. Step 4: Simplify right side
    631.28x = 305,655.35
  5. Step 5: Solve for x
    x = 305,655.35/631.28
  6. Step 6: Final answer
    x = 484.18

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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.