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Finding the Fourth Proportional to 913.25, 1,370.08 and 297.01

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Solution

The fourth proportional to 913.25, 1,370.08 and 297.01 is: 445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.25 : 1,370.08 = 297.01 : x
  2. Step 2: Convert to fraction form
    913.25/1,370.08 = 297.01/x
  3. Step 3: Cross multiply
    913.25x = 1,370.08 × 297.01
  4. Step 4: Simplify right side
    913.25x = 406,929.54
  5. Step 5: Solve for x
    x = 406,929.54/913.25
  6. Step 6: Final answer
    x = 445.58

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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.