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Finding the Fourth Proportional to 1,584.90, 2,379.30 and 999.90

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Solution

The fourth proportional to 1,584.90, 2,379.30 and 999.90 is: 1,501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.90 : 2,379.30 = 999.90 : x
  2. Step 2: Convert to fraction form
    1,584.90/2,379.30 = 999.90/x
  3. Step 3: Cross multiply
    1,584.90x = 2,379.30 × 999.90
  4. Step 4: Simplify right side
    1,584.90x = 2,379,062.07
  5. Step 5: Solve for x
    x = 2,379,062.07/1,584.90
  6. Step 6: Final answer
    x = 1,501.08

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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.