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Finding the Fourth Proportional to 491.24, 676.37 and 464.16

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Solution

The fourth proportional to 491.24, 676.37 and 464.16 is: 639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.24 : 676.37 = 464.16 : x
  2. Step 2: Convert to fraction form
    491.24/676.37 = 464.16/x
  3. Step 3: Cross multiply
    491.24x = 676.37 × 464.16
  4. Step 4: Simplify right side
    491.24x = 313,941.58
  5. Step 5: Solve for x
    x = 313,941.58/491.24
  6. Step 6: Final answer
    x = 639.09

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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.