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Finding the Fourth Proportional to 604.65, 832.37 and 542.46

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Solution

The fourth proportional to 604.65, 832.37 and 542.46 is: 746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.65 : 832.37 = 542.46 : x
  2. Step 2: Convert to fraction form
    604.65/832.37 = 542.46/x
  3. Step 3: Cross multiply
    604.65x = 832.37 × 542.46
  4. Step 4: Simplify right side
    604.65x = 451,527.00
  5. Step 5: Solve for x
    x = 451,527.00/604.65
  6. Step 6: Final answer
    x = 746.75

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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.