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Finding the Fourth Proportional to 653.69, 981.20 and 380.32

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Solution

The fourth proportional to 653.69, 981.20 and 380.32 is: 570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.69 : 981.20 = 380.32 : x
  2. Step 2: Convert to fraction form
    653.69/981.20 = 380.32/x
  3. Step 3: Cross multiply
    653.69x = 981.20 × 380.32
  4. Step 4: Simplify right side
    653.69x = 373,169.98
  5. Step 5: Solve for x
    x = 373,169.98/653.69
  6. Step 6: Final answer
    x = 570.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.