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Finding the Fourth Proportional to 607.72, 839.82 and 491.08

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Solution

The fourth proportional to 607.72, 839.82 and 491.08 is: 678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.72 : 839.82 = 491.08 : x
  2. Step 2: Convert to fraction form
    607.72/839.82 = 491.08/x
  3. Step 3: Cross multiply
    607.72x = 839.82 × 491.08
  4. Step 4: Simplify right side
    607.72x = 412,418.81
  5. Step 5: Solve for x
    x = 412,418.81/607.72
  6. Step 6: Final answer
    x = 678.63

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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.