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Finding the Fourth Proportional to 913.29, 1,260.81 and 647.97

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Solution

The fourth proportional to 913.29, 1,260.81 and 647.97 is: 894.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.29 : 1,260.81 = 647.97 : x
  2. Step 2: Convert to fraction form
    913.29/1,260.81 = 647.97/x
  3. Step 3: Cross multiply
    913.29x = 1,260.81 × 647.97
  4. Step 4: Simplify right side
    913.29x = 816,967.06
  5. Step 5: Solve for x
    x = 816,967.06/913.29
  6. Step 6: Final answer
    x = 894.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.