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Finding the Fourth Proportional to 631.32, 946.74 and 485.97

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Solution

The fourth proportional to 631.32, 946.74 and 485.97 is: 728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.32 : 946.74 = 485.97 : x
  2. Step 2: Convert to fraction form
    631.32/946.74 = 485.97/x
  3. Step 3: Cross multiply
    631.32x = 946.74 × 485.97
  4. Step 4: Simplify right side
    631.32x = 460,090.76
  5. Step 5: Solve for x
    x = 460,090.76/631.32
  6. Step 6: Final answer
    x = 728.78

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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.