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Finding the Fourth Proportional to 913.41, 1,261.17 and 651.51

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Solution

The fourth proportional to 913.41, 1,261.17 and 651.51 is: 899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.41 : 1,261.17 = 651.51 : x
  2. Step 2: Convert to fraction form
    913.41/1,261.17 = 651.51/x
  3. Step 3: Cross multiply
    913.41x = 1,261.17 × 651.51
  4. Step 4: Simplify right side
    913.41x = 821,664.87
  5. Step 5: Solve for x
    x = 821,664.87/913.41
  6. Step 6: Final answer
    x = 899.56

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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.