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Finding the Fourth Proportional to 912.41, 1,259.13 and 713.46

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Solution

The fourth proportional to 912.41, 1,259.13 and 713.46 is: 984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.41 : 1,259.13 = 713.46 : x
  2. Step 2: Convert to fraction form
    912.41/1,259.13 = 713.46/x
  3. Step 3: Cross multiply
    912.41x = 1,259.13 × 713.46
  4. Step 4: Simplify right side
    912.41x = 898,338.89
  5. Step 5: Solve for x
    x = 898,338.89/912.41
  6. Step 6: Final answer
    x = 984.58

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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.