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Finding the Fourth Proportional to 468.77, 647.48 and 321.89

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Solution

The fourth proportional to 468.77, 647.48 and 321.89 is: 444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.77 : 647.48 = 321.89 : x
  2. Step 2: Convert to fraction form
    468.77/647.48 = 321.89/x
  3. Step 3: Cross multiply
    468.77x = 647.48 × 321.89
  4. Step 4: Simplify right side
    468.77x = 208,415.73
  5. Step 5: Solve for x
    x = 208,415.73/468.77
  6. Step 6: Final answer
    x = 444.60

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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.