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Finding the Fourth Proportional to 817.07, 1,225.60 and 261.80

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Solution

The fourth proportional to 817.07, 1,225.60 and 261.80 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.07 : 1,225.60 = 261.80 : x
  2. Step 2: Convert to fraction form
    817.07/1,225.60 = 261.80/x
  3. Step 3: Cross multiply
    817.07x = 1,225.60 × 261.80
  4. Step 4: Simplify right side
    817.07x = 320,859.89
  5. Step 5: Solve for x
    x = 320,859.89/817.07
  6. Step 6: Final answer
    x = 392.70

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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.