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Finding the Fourth Proportional to 1,014.21, 1,521.31 and 397.48

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Solution

The fourth proportional to 1,014.21, 1,521.31 and 397.48 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.21 : 1,521.31 = 397.48 : x
  2. Step 2: Convert to fraction form
    1,014.21/1,521.31 = 397.48/x
  3. Step 3: Cross multiply
    1,014.21x = 1,521.31 × 397.48
  4. Step 4: Simplify right side
    1,014.21x = 604,695.10
  5. Step 5: Solve for x
    x = 604,695.10/1,014.21
  6. Step 6: Final answer
    x = 596.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.