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Finding the Fourth Proportional to 1,588, 2,190.96 and 999.12

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Solution

The fourth proportional to 1,588, 2,190.96 and 999.12 is: 1,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588 : 2,190.96 = 999.12 : x
  2. Step 2: Convert to fraction form
    1,588/2,190.96 = 999.12/x
  3. Step 3: Cross multiply
    1,588x = 2,190.96 × 999.12
  4. Step 4: Simplify right side
    1,588x = 2,189,031.96
  5. Step 5: Solve for x
    x = 2,189,031.96/1,588
  6. Step 6: Final answer
    x = 1,378.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.