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Finding the Fourth Proportional to 913.22, 1,369.83 and 776.06

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Solution

The fourth proportional to 913.22, 1,369.83 and 776.06 is: 1,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.22 : 1,369.83 = 776.06 : x
  2. Step 2: Convert to fraction form
    913.22/1,369.83 = 776.06/x
  3. Step 3: Cross multiply
    913.22x = 1,369.83 × 776.06
  4. Step 4: Simplify right side
    913.22x = 1,063,070.27
  5. Step 5: Solve for x
    x = 1,063,070.27/913.22
  6. Step 6: Final answer
    x = 1,164.09

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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.