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Finding the Fourth Proportional to 993.51, 1,489.19 and 559.76

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Solution

The fourth proportional to 993.51, 1,489.19 and 559.76 is: 839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.51 : 1,489.19 = 559.76 : x
  2. Step 2: Convert to fraction form
    993.51/1,489.19 = 559.76/x
  3. Step 3: Cross multiply
    993.51x = 1,489.19 × 559.76
  4. Step 4: Simplify right side
    993.51x = 833,578.75
  5. Step 5: Solve for x
    x = 833,578.75/993.51
  6. Step 6: Final answer
    x = 839.02

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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.