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Finding the Fourth Proportional to 687.45, 947.58 and 539.82

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Solution

The fourth proportional to 687.45, 947.58 and 539.82 is: 744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.45 : 947.58 = 539.82 : x
  2. Step 2: Convert to fraction form
    687.45/947.58 = 539.82/x
  3. Step 3: Cross multiply
    687.45x = 947.58 × 539.82
  4. Step 4: Simplify right side
    687.45x = 511,522.64
  5. Step 5: Solve for x
    x = 511,522.64/687.45
  6. Step 6: Final answer
    x = 744.09

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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.