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Finding the Fourth Proportional to 913.12, 1,369.79 and 296.71

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Solution

The fourth proportional to 913.12, 1,369.79 and 296.71 is: 445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.12 : 1,369.79 = 296.71 : x
  2. Step 2: Convert to fraction form
    913.12/1,369.79 = 296.71/x
  3. Step 3: Cross multiply
    913.12x = 1,369.79 × 296.71
  4. Step 4: Simplify right side
    913.12x = 406,427.71
  5. Step 5: Solve for x
    x = 406,427.71/913.12
  6. Step 6: Final answer
    x = 445.10

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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.