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Finding the Fourth Proportional to 2,159.93, 3,239.28 and 599.55

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Solution

The fourth proportional to 2,159.93, 3,239.28 and 599.55 is: 899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.93 : 3,239.28 = 599.55 : x
  2. Step 2: Convert to fraction form
    2,159.93/3,239.28 = 599.55/x
  3. Step 3: Cross multiply
    2,159.93x = 3,239.28 × 599.55
  4. Step 4: Simplify right side
    2,159.93x = 1,942,110.32
  5. Step 5: Solve for x
    x = 1,942,110.32/2,159.93
  6. Step 6: Final answer
    x = 899.16

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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.