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Finding the Fourth Proportional to 1,987, 2,979.53 and 600.07

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Solution

The fourth proportional to 1,987, 2,979.53 and 600.07 is: 899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987 : 2,979.53 = 600.07 : x
  2. Step 2: Convert to fraction form
    1,987/2,979.53 = 600.07/x
  3. Step 3: Cross multiply
    1,987x = 2,979.53 × 600.07
  4. Step 4: Simplify right side
    1,987x = 1,787,926.57
  5. Step 5: Solve for x
    x = 1,787,926.57/1,987
  6. Step 6: Final answer
    x = 899.81

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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.