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Finding the Fourth Proportional to 914.55, 1,369.80 and 366.45

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Solution

The fourth proportional to 914.55, 1,369.80 and 366.45 is: 548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.55 : 1,369.80 = 366.45 : x
  2. Step 2: Convert to fraction form
    914.55/1,369.80 = 366.45/x
  3. Step 3: Cross multiply
    914.55x = 1,369.80 × 366.45
  4. Step 4: Simplify right side
    914.55x = 501,963.21
  5. Step 5: Solve for x
    x = 501,963.21/914.55
  6. Step 6: Final answer
    x = 548.86

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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.