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Finding the Fourth Proportional to 715.40, 984.78 and 574.46

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Solution

The fourth proportional to 715.40, 984.78 and 574.46 is: 790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.40 : 984.78 = 574.46 : x
  2. Step 2: Convert to fraction form
    715.40/984.78 = 574.46/x
  3. Step 3: Cross multiply
    715.40x = 984.78 × 574.46
  4. Step 4: Simplify right side
    715.40x = 565,716.72
  5. Step 5: Solve for x
    x = 565,716.72/715.40
  6. Step 6: Final answer
    x = 790.77

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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.