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Finding the Fourth Proportional to 601.26, 830.01 and 491.91

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Solution

The fourth proportional to 601.26, 830.01 and 491.91 is: 679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.26 : 830.01 = 491.91 : x
  2. Step 2: Convert to fraction form
    601.26/830.01 = 491.91/x
  3. Step 3: Cross multiply
    601.26x = 830.01 × 491.91
  4. Step 4: Simplify right side
    601.26x = 408,290.22
  5. Step 5: Solve for x
    x = 408,290.22/601.26
  6. Step 6: Final answer
    x = 679.06

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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.