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Finding the Fourth Proportional to 626.40, 864.37 and 346.63

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Solution

The fourth proportional to 626.40, 864.37 and 346.63 is: 478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.40 : 864.37 = 346.63 : x
  2. Step 2: Convert to fraction form
    626.40/864.37 = 346.63/x
  3. Step 3: Cross multiply
    626.40x = 864.37 × 346.63
  4. Step 4: Simplify right side
    626.40x = 299,616.47
  5. Step 5: Solve for x
    x = 299,616.47/626.40
  6. Step 6: Final answer
    x = 478.31

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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.