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Finding the Fourth Proportional to 484.93, 668.94 and 307.57

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Solution

The fourth proportional to 484.93, 668.94 and 307.57 is: 424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.93 : 668.94 = 307.57 : x
  2. Step 2: Convert to fraction form
    484.93/668.94 = 307.57/x
  3. Step 3: Cross multiply
    484.93x = 668.94 × 307.57
  4. Step 4: Simplify right side
    484.93x = 205,745.88
  5. Step 5: Solve for x
    x = 205,745.88/484.93
  6. Step 6: Final answer
    x = 424.28

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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.