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Finding the Fourth Proportional to 607.80, 911.56 and 283

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Solution

The fourth proportional to 607.80, 911.56 and 283 is: 424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.80 : 911.56 = 283 : x
  2. Step 2: Convert to fraction form
    607.80/911.56 = 283/x
  3. Step 3: Cross multiply
    607.80x = 911.56 × 283
  4. Step 4: Simplify right side
    607.80x = 257,971.48
  5. Step 5: Solve for x
    x = 257,971.48/607.80
  6. Step 6: Final answer
    x = 424.43

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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.