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Finding the Fourth Proportional to 1,052.56, 1,579.62 and 395.04

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Solution

The fourth proportional to 1,052.56, 1,579.62 and 395.04 is: 592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.56 : 1,579.62 = 395.04 : x
  2. Step 2: Convert to fraction form
    1,052.56/1,579.62 = 395.04/x
  3. Step 3: Cross multiply
    1,052.56x = 1,579.62 × 395.04
  4. Step 4: Simplify right side
    1,052.56x = 624,013.08
  5. Step 5: Solve for x
    x = 624,013.08/1,052.56
  6. Step 6: Final answer
    x = 592.85

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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.