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Finding the Fourth Proportional to 936.47, 1,289.97 and 715.05

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Solution

The fourth proportional to 936.47, 1,289.97 and 715.05 is: 984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.47 : 1,289.97 = 715.05 : x
  2. Step 2: Convert to fraction form
    936.47/1,289.97 = 715.05/x
  3. Step 3: Cross multiply
    936.47x = 1,289.97 × 715.05
  4. Step 4: Simplify right side
    936.47x = 922,393.05
  5. Step 5: Solve for x
    x = 922,393.05/936.47
  6. Step 6: Final answer
    x = 984.97

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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.