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Finding the Fourth Proportional to 455.77, 630.60 and 397.66

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Solution

The fourth proportional to 455.77, 630.60 and 397.66 is: 550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.77 : 630.60 = 397.66 : x
  2. Step 2: Convert to fraction form
    455.77/630.60 = 397.66/x
  3. Step 3: Cross multiply
    455.77x = 630.60 × 397.66
  4. Step 4: Simplify right side
    455.77x = 250,764.40
  5. Step 5: Solve for x
    x = 250,764.40/455.77
  6. Step 6: Final answer
    x = 550.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.