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Finding the Fourth Proportional to 993, 1,369.13 and 771.06

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Solution

The fourth proportional to 993, 1,369.13 and 771.06 is: 1,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    993 : 1,369.13 = 771.06 : x
  2. Step 2: Convert to fraction form
    993/1,369.13 = 771.06/x
  3. Step 3: Cross multiply
    993x = 1,369.13 × 771.06
  4. Step 4: Simplify right side
    993x = 1,055,677.52
  5. Step 5: Solve for x
    x = 1,055,677.52/993
  6. Step 6: Final answer
    x = 1,063.12

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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.