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Finding the Fourth Proportional to 491.36, 681.21 and 466.38

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Solution

The fourth proportional to 491.36, 681.21 and 466.38 is: 646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.36 : 681.21 = 466.38 : x
  2. Step 2: Convert to fraction form
    491.36/681.21 = 466.38/x
  3. Step 3: Cross multiply
    491.36x = 681.21 × 466.38
  4. Step 4: Simplify right side
    491.36x = 317,702.72
  5. Step 5: Solve for x
    x = 317,702.72/491.36
  6. Step 6: Final answer
    x = 646.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.