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Finding the Fourth Proportional to 1,013.80, 1,521.10 and 397.40

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Solution

The fourth proportional to 1,013.80, 1,521.10 and 397.40 is: 596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.80 : 1,521.10 = 397.40 : x
  2. Step 2: Convert to fraction form
    1,013.80/1,521.10 = 397.40/x
  3. Step 3: Cross multiply
    1,013.80x = 1,521.10 × 397.40
  4. Step 4: Simplify right side
    1,013.80x = 604,489.44
  5. Step 5: Solve for x
    x = 604,489.44/1,013.80
  6. Step 6: Final answer
    x = 596.26

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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.