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Finding the Fourth Proportional to 616.81, 850.31 and 420.07

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Solution

The fourth proportional to 616.81, 850.31 and 420.07 is: 579.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.81 : 850.31 = 420.07 : x
  2. Step 2: Convert to fraction form
    616.81/850.31 = 420.07/x
  3. Step 3: Cross multiply
    616.81x = 850.31 × 420.07
  4. Step 4: Simplify right side
    616.81x = 357,186.52
  5. Step 5: Solve for x
    x = 357,186.52/616.81
  6. Step 6: Final answer
    x = 579.09

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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.