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Finding the Fourth Proportional to 467.05, 647.61 and 451.47

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Solution

The fourth proportional to 467.05, 647.61 and 451.47 is: 626.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.05 : 647.61 = 451.47 : x
  2. Step 2: Convert to fraction form
    467.05/647.61 = 451.47/x
  3. Step 3: Cross multiply
    467.05x = 647.61 × 451.47
  4. Step 4: Simplify right side
    467.05x = 292,379.76
  5. Step 5: Solve for x
    x = 292,379.76/467.05
  6. Step 6: Final answer
    x = 626.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.