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Finding the Fourth Proportional to 736.55, 1,104.19 and 346.35

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Solution

The fourth proportional to 736.55, 1,104.19 and 346.35 is: 519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.55 : 1,104.19 = 346.35 : x
  2. Step 2: Convert to fraction form
    736.55/1,104.19 = 346.35/x
  3. Step 3: Cross multiply
    736.55x = 1,104.19 × 346.35
  4. Step 4: Simplify right side
    736.55x = 382,436.21
  5. Step 5: Solve for x
    x = 382,436.21/736.55
  6. Step 6: Final answer
    x = 519.23

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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.