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Finding the Fourth Proportional to 565.43, 852.41 and 474.70

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Solution

The fourth proportional to 565.43, 852.41 and 474.70 is: 715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.43 : 852.41 = 474.70 : x
  2. Step 2: Convert to fraction form
    565.43/852.41 = 474.70/x
  3. Step 3: Cross multiply
    565.43x = 852.41 × 474.70
  4. Step 4: Simplify right side
    565.43x = 404,639.68
  5. Step 5: Solve for x
    x = 404,639.68/565.43
  6. Step 6: Final answer
    x = 715.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.