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Finding the Fourth Proportional to 668.16, 1,001.97 and 302.85

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Solution

The fourth proportional to 668.16, 1,001.97 and 302.85 is: 454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.16 : 1,001.97 = 302.85 : x
  2. Step 2: Convert to fraction form
    668.16/1,001.97 = 302.85/x
  3. Step 3: Cross multiply
    668.16x = 1,001.97 × 302.85
  4. Step 4: Simplify right side
    668.16x = 303,446.61
  5. Step 5: Solve for x
    x = 303,446.61/668.16
  6. Step 6: Final answer
    x = 454.15

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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.