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Finding the Fourth Proportional to 626.34, 865.52 and 480

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Solution

The fourth proportional to 626.34, 865.52 and 480 is: 663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.34 : 865.52 = 480 : x
  2. Step 2: Convert to fraction form
    626.34/865.52 = 480/x
  3. Step 3: Cross multiply
    626.34x = 865.52 × 480
  4. Step 4: Simplify right side
    626.34x = 415,449.60
  5. Step 5: Solve for x
    x = 415,449.60/626.34
  6. Step 6: Final answer
    x = 663.30

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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.