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Finding the Fourth Proportional to 817.74, 1,225.54 and 598.34

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Solution

The fourth proportional to 817.74, 1,225.54 and 598.34 is: 896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.74 : 1,225.54 = 598.34 : x
  2. Step 2: Convert to fraction form
    817.74/1,225.54 = 598.34/x
  3. Step 3: Cross multiply
    817.74x = 1,225.54 × 598.34
  4. Step 4: Simplify right side
    817.74x = 733,289.60
  5. Step 5: Solve for x
    x = 733,289.60/817.74
  6. Step 6: Final answer
    x = 896.73

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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.