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Finding the Fourth Proportional to 913.08, 1,369.98 and 768.36

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Solution

The fourth proportional to 913.08, 1,369.98 and 768.36 is: 1,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.08 : 1,369.98 = 768.36 : x
  2. Step 2: Convert to fraction form
    913.08/1,369.98 = 768.36/x
  3. Step 3: Cross multiply
    913.08x = 1,369.98 × 768.36
  4. Step 4: Simplify right side
    913.08x = 1,052,637.83
  5. Step 5: Solve for x
    x = 1,052,637.83/913.08
  6. Step 6: Final answer
    x = 1,152.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.