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Finding the Fourth Proportional to 817.71, 1,225.47 and 383.95

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Solution

The fourth proportional to 817.71, 1,225.47 and 383.95 is: 575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.71 : 1,225.47 = 383.95 : x
  2. Step 2: Convert to fraction form
    817.71/1,225.47 = 383.95/x
  3. Step 3: Cross multiply
    817.71x = 1,225.47 × 383.95
  4. Step 4: Simplify right side
    817.71x = 470,519.21
  5. Step 5: Solve for x
    x = 470,519.21/817.71
  6. Step 6: Final answer
    x = 575.41

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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.