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Finding the Fourth Proportional to 626.44, 864.53 and 346.66

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Solution

The fourth proportional to 626.44, 864.53 and 346.66 is: 478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.44 : 864.53 = 346.66 : x
  2. Step 2: Convert to fraction form
    626.44/864.53 = 346.66/x
  3. Step 3: Cross multiply
    626.44x = 864.53 × 346.66
  4. Step 4: Simplify right side
    626.44x = 299,697.97
  5. Step 5: Solve for x
    x = 299,697.97/626.44
  6. Step 6: Final answer
    x = 478.41

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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.