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Finding the Fourth Proportional to 451.50, 677.65 and 304.89

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Solution

The fourth proportional to 451.50, 677.65 and 304.89 is: 457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.50 : 677.65 = 304.89 : x
  2. Step 2: Convert to fraction form
    451.50/677.65 = 304.89/x
  3. Step 3: Cross multiply
    451.50x = 677.65 × 304.89
  4. Step 4: Simplify right side
    451.50x = 206,605.32
  5. Step 5: Solve for x
    x = 206,605.32/451.50
  6. Step 6: Final answer
    x = 457.60

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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.