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Finding the Fourth Proportional to 993.69, 1,369.98 and 835.74

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Solution

The fourth proportional to 993.69, 1,369.98 and 835.74 is: 1,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.69 : 1,369.98 = 835.74 : x
  2. Step 2: Convert to fraction form
    993.69/1,369.98 = 835.74/x
  3. Step 3: Cross multiply
    993.69x = 1,369.98 × 835.74
  4. Step 4: Simplify right side
    993.69x = 1,144,947.09
  5. Step 5: Solve for x
    x = 1,144,947.09/993.69
  6. Step 6: Final answer
    x = 1,152.22

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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.