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Finding the Fourth Proportional to 993.83, 1,371.30 and 574.20

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Solution

The fourth proportional to 993.83, 1,371.30 and 574.20 is: 792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.83 : 1,371.30 = 574.20 : x
  2. Step 2: Convert to fraction form
    993.83/1,371.30 = 574.20/x
  3. Step 3: Cross multiply
    993.83x = 1,371.30 × 574.20
  4. Step 4: Simplify right side
    993.83x = 787,400.46
  5. Step 5: Solve for x
    x = 787,400.46/993.83
  6. Step 6: Final answer
    x = 792.29

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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.