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Finding the Fourth Proportional to 454.07, 626.45 and 314.13

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Solution

The fourth proportional to 454.07, 626.45 and 314.13 is: 433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.07 : 626.45 = 314.13 : x
  2. Step 2: Convert to fraction form
    454.07/626.45 = 314.13/x
  3. Step 3: Cross multiply
    454.07x = 626.45 × 314.13
  4. Step 4: Simplify right side
    454.07x = 196,786.74
  5. Step 5: Solve for x
    x = 196,786.74/454.07
  6. Step 6: Final answer
    x = 433.39

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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.