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Finding the Fourth Proportional to 719.52, 994.71 and 712.94

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Solution

The fourth proportional to 719.52, 994.71 and 712.94 is: 985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.52 : 994.71 = 712.94 : x
  2. Step 2: Convert to fraction form
    719.52/994.71 = 712.94/x
  3. Step 3: Cross multiply
    719.52x = 994.71 × 712.94
  4. Step 4: Simplify right side
    719.52x = 709,164.98
  5. Step 5: Solve for x
    x = 709,164.98/719.52
  6. Step 6: Final answer
    x = 985.61

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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.