Home / 1,584.02-2,375.79-609.98

Finding the Fourth Proportional to 1,584.02, 2,375.79 and 609.98

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Solution

The fourth proportional to 1,584.02, 2,375.79 and 609.98 is: 914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.02 : 2,375.79 = 609.98 : x
  2. Step 2: Convert to fraction form
    1,584.02/2,375.79 = 609.98/x
  3. Step 3: Cross multiply
    1,584.02x = 2,375.79 × 609.98
  4. Step 4: Simplify right side
    1,584.02x = 1,449,184.38
  5. Step 5: Solve for x
    x = 1,449,184.38/1,584.02
  6. Step 6: Final answer
    x = 914.88

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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.