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Finding the Fourth Proportional to 454.45, 678.13 and 436.66

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Solution

The fourth proportional to 454.45, 678.13 and 436.66 is: 651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.45 : 678.13 = 436.66 : x
  2. Step 2: Convert to fraction form
    454.45/678.13 = 436.66/x
  3. Step 3: Cross multiply
    454.45x = 678.13 × 436.66
  4. Step 4: Simplify right side
    454.45x = 296,112.25
  5. Step 5: Solve for x
    x = 296,112.25/454.45
  6. Step 6: Final answer
    x = 651.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.