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Finding the Fourth Proportional to 738.73, 1,108.06 and 305.77

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Solution

The fourth proportional to 738.73, 1,108.06 and 305.77 is: 458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.73 : 1,108.06 = 305.77 : x
  2. Step 2: Convert to fraction form
    738.73/1,108.06 = 305.77/x
  3. Step 3: Cross multiply
    738.73x = 1,108.06 × 305.77
  4. Step 4: Simplify right side
    738.73x = 338,811.51
  5. Step 5: Solve for x
    x = 338,811.51/738.73
  6. Step 6: Final answer
    x = 458.64

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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.