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Finding the Fourth Proportional to 443.77, 664.49 and 313.06

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Solution

The fourth proportional to 443.77, 664.49 and 313.06 is: 468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.77 : 664.49 = 313.06 : x
  2. Step 2: Convert to fraction form
    443.77/664.49 = 313.06/x
  3. Step 3: Cross multiply
    443.77x = 664.49 × 313.06
  4. Step 4: Simplify right side
    443.77x = 208,023.67
  5. Step 5: Solve for x
    x = 208,023.67/443.77
  6. Step 6: Final answer
    x = 468.77

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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.