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Finding the Fourth Proportional to 911.50, 1,365.44 and 423.88

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Solution

The fourth proportional to 911.50, 1,365.44 and 423.88 is: 634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.50 : 1,365.44 = 423.88 : x
  2. Step 2: Convert to fraction form
    911.50/1,365.44 = 423.88/x
  3. Step 3: Cross multiply
    911.50x = 1,365.44 × 423.88
  4. Step 4: Simplify right side
    911.50x = 578,782.71
  5. Step 5: Solve for x
    x = 578,782.71/911.50
  6. Step 6: Final answer
    x = 634.98

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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.