Home / 1,584.23-2,374.89-609.59

Finding the Fourth Proportional to 1,584.23, 2,374.89 and 609.59

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Solution

The fourth proportional to 1,584.23, 2,374.89 and 609.59 is: 913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.23 : 2,374.89 = 609.59 : x
  2. Step 2: Convert to fraction form
    1,584.23/2,374.89 = 609.59/x
  3. Step 3: Cross multiply
    1,584.23x = 2,374.89 × 609.59
  4. Step 4: Simplify right side
    1,584.23x = 1,447,712.85
  5. Step 5: Solve for x
    x = 1,447,712.85/1,584.23
  6. Step 6: Final answer
    x = 913.83

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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.