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Finding the Fourth Proportional to 736.70, 1,104.32 and 304.10

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Solution

The fourth proportional to 736.70, 1,104.32 and 304.10 is: 455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.70 : 1,104.32 = 304.10 : x
  2. Step 2: Convert to fraction form
    736.70/1,104.32 = 304.10/x
  3. Step 3: Cross multiply
    736.70x = 1,104.32 × 304.10
  4. Step 4: Simplify right side
    736.70x = 335,823.71
  5. Step 5: Solve for x
    x = 335,823.71/736.70
  6. Step 6: Final answer
    x = 455.85

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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.