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Finding the Fourth Proportional to 457.94, 631.72 and 291.98

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Solution

The fourth proportional to 457.94, 631.72 and 291.98 is: 402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.94 : 631.72 = 291.98 : x
  2. Step 2: Convert to fraction form
    457.94/631.72 = 291.98/x
  3. Step 3: Cross multiply
    457.94x = 631.72 × 291.98
  4. Step 4: Simplify right side
    457.94x = 184,450.59
  5. Step 5: Solve for x
    x = 184,450.59/457.94
  6. Step 6: Final answer
    x = 402.78

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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.