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Finding the Fourth Proportional to 631.34, 946.22 and 322.72

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Solution

The fourth proportional to 631.34, 946.22 and 322.72 is: 483.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.34 : 946.22 = 322.72 : x
  2. Step 2: Convert to fraction form
    631.34/946.22 = 322.72/x
  3. Step 3: Cross multiply
    631.34x = 946.22 × 322.72
  4. Step 4: Simplify right side
    631.34x = 305,364.12
  5. Step 5: Solve for x
    x = 305,364.12/631.34
  6. Step 6: Final answer
    x = 483.68

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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.