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Finding the Fourth Proportional to 607.89, 913.66 and 540.46

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Solution

The fourth proportional to 607.89, 913.66 and 540.46 is: 812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.89 : 913.66 = 540.46 : x
  2. Step 2: Convert to fraction form
    607.89/913.66 = 540.46/x
  3. Step 3: Cross multiply
    607.89x = 913.66 × 540.46
  4. Step 4: Simplify right side
    607.89x = 493,796.68
  5. Step 5: Solve for x
    x = 493,796.68/607.89
  6. Step 6: Final answer
    x = 812.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.