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Finding the Fourth Proportional to 913.41, 1,259.15 and 716.58

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Solution

The fourth proportional to 913.41, 1,259.15 and 716.58 is: 987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.41 : 1,259.15 = 716.58 : x
  2. Step 2: Convert to fraction form
    913.41/1,259.15 = 716.58/x
  3. Step 3: Cross multiply
    913.41x = 1,259.15 × 716.58
  4. Step 4: Simplify right side
    913.41x = 902,278.12
  5. Step 5: Solve for x
    x = 902,278.12/913.41
  6. Step 6: Final answer
    x = 987.81

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1.5x scale

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.