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Finding the Fourth Proportional to 913.33, 1,369.63 and 296.94

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Solution

The fourth proportional to 913.33, 1,369.63 and 296.94 is: 445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.33 : 1,369.63 = 296.94 : x
  2. Step 2: Convert to fraction form
    913.33/1,369.63 = 296.94/x
  3. Step 3: Cross multiply
    913.33x = 1,369.63 × 296.94
  4. Step 4: Simplify right side
    913.33x = 406,697.93
  5. Step 5: Solve for x
    x = 406,697.93/913.33
  6. Step 6: Final answer
    x = 445.29

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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.