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Finding the Fourth Proportional to 488.63, 736.56 and 460.42

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Solution

The fourth proportional to 488.63, 736.56 and 460.42 is: 694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.63 : 736.56 = 460.42 : x
  2. Step 2: Convert to fraction form
    488.63/736.56 = 460.42/x
  3. Step 3: Cross multiply
    488.63x = 736.56 × 460.42
  4. Step 4: Simplify right side
    488.63x = 339,125.11
  5. Step 5: Solve for x
    x = 339,125.11/488.63
  6. Step 6: Final answer
    x = 694.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.