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Finding the Fourth Proportional to 993.78, 1,371.89 and 595.64

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Solution

The fourth proportional to 993.78, 1,371.89 and 595.64 is: 822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.78 : 1,371.89 = 595.64 : x
  2. Step 2: Convert to fraction form
    993.78/1,371.89 = 595.64/x
  3. Step 3: Cross multiply
    993.78x = 1,371.89 × 595.64
  4. Step 4: Simplify right side
    993.78x = 817,142.72
  5. Step 5: Solve for x
    x = 817,142.72/993.78
  6. Step 6: Final answer
    x = 822.26

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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.