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Finding the Fourth Proportional to 1,052.03, 1,578.35 and 402.82

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Solution

The fourth proportional to 1,052.03, 1,578.35 and 402.82 is: 604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.03 : 1,578.35 = 402.82 : x
  2. Step 2: Convert to fraction form
    1,052.03/1,578.35 = 402.82/x
  3. Step 3: Cross multiply
    1,052.03x = 1,578.35 × 402.82
  4. Step 4: Simplify right side
    1,052.03x = 635,781.04
  5. Step 5: Solve for x
    x = 635,781.04/1,052.03
  6. Step 6: Final answer
    x = 604.34

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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.