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Finding the Fourth Proportional to 1,072.47, 1,608.84 and 378.98

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Solution

The fourth proportional to 1,072.47, 1,608.84 and 378.98 is: 568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.47 : 1,608.84 = 378.98 : x
  2. Step 2: Convert to fraction form
    1,072.47/1,608.84 = 378.98/x
  3. Step 3: Cross multiply
    1,072.47x = 1,608.84 × 378.98
  4. Step 4: Simplify right side
    1,072.47x = 609,718.18
  5. Step 5: Solve for x
    x = 609,718.18/1,072.47
  6. Step 6: Final answer
    x = 568.52

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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.