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Finding the Fourth Proportional to 603.82, 832.45 and 542.31

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Solution

The fourth proportional to 603.82, 832.45 and 542.31 is: 747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.82 : 832.45 = 542.31 : x
  2. Step 2: Convert to fraction form
    603.82/832.45 = 542.31/x
  3. Step 3: Cross multiply
    603.82x = 832.45 × 542.31
  4. Step 4: Simplify right side
    603.82x = 451,445.96
  5. Step 5: Solve for x
    x = 451,445.96/603.82
  6. Step 6: Final answer
    x = 747.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.