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Finding the Fourth Proportional to 1,052.12, 1,578.18 and 402.95

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Solution

The fourth proportional to 1,052.12, 1,578.18 and 402.95 is: 604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.12 : 1,578.18 = 402.95 : x
  2. Step 2: Convert to fraction form
    1,052.12/1,578.18 = 402.95/x
  3. Step 3: Cross multiply
    1,052.12x = 1,578.18 × 402.95
  4. Step 4: Simplify right side
    1,052.12x = 635,927.63
  5. Step 5: Solve for x
    x = 635,927.63/1,052.12
  6. Step 6: Final answer
    x = 604.43

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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.