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Finding the Fourth Proportional to 458.81, 631.56 and 400.49

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Solution

The fourth proportional to 458.81, 631.56 and 400.49 is: 551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.81 : 631.56 = 400.49 : x
  2. Step 2: Convert to fraction form
    458.81/631.56 = 400.49/x
  3. Step 3: Cross multiply
    458.81x = 631.56 × 400.49
  4. Step 4: Simplify right side
    458.81x = 252,933.46
  5. Step 5: Solve for x
    x = 252,933.46/458.81
  6. Step 6: Final answer
    x = 551.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.