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Finding the Fourth Proportional to 993.01, 1,369.38 and 914.53

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Solution

The fourth proportional to 993.01, 1,369.38 and 914.53 is: 1,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.01 : 1,369.38 = 914.53 : x
  2. Step 2: Convert to fraction form
    993.01/1,369.38 = 914.53/x
  3. Step 3: Cross multiply
    993.01x = 1,369.38 × 914.53
  4. Step 4: Simplify right side
    993.01x = 1,252,339.09
  5. Step 5: Solve for x
    x = 1,252,339.09/993.01
  6. Step 6: Final answer
    x = 1,261.15

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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.