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Finding the Fourth Proportional to 736.55, 1,105.09 and 390.14

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Solution

The fourth proportional to 736.55, 1,105.09 and 390.14 is: 585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.55 : 1,105.09 = 390.14 : x
  2. Step 2: Convert to fraction form
    736.55/1,105.09 = 390.14/x
  3. Step 3: Cross multiply
    736.55x = 1,105.09 × 390.14
  4. Step 4: Simplify right side
    736.55x = 431,133.31
  5. Step 5: Solve for x
    x = 431,133.31/736.55
  6. Step 6: Final answer
    x = 585.35

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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.