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Finding the Fourth Proportional to 913.72, 1,370.66 and 297.26

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Solution

The fourth proportional to 913.72, 1,370.66 and 297.26 is: 445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.72 : 1,370.66 = 297.26 : x
  2. Step 2: Convert to fraction form
    913.72/1,370.66 = 297.26/x
  3. Step 3: Cross multiply
    913.72x = 1,370.66 × 297.26
  4. Step 4: Simplify right side
    913.72x = 407,437.01
  5. Step 5: Solve for x
    x = 407,437.01/913.72
  6. Step 6: Final answer
    x = 445.91

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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.