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Finding the Fourth Proportional to 756.58, 1,134.74 and 345.62

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Solution

The fourth proportional to 756.58, 1,134.74 and 345.62 is: 518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.58 : 1,134.74 = 345.62 : x
  2. Step 2: Convert to fraction form
    756.58/1,134.74 = 345.62/x
  3. Step 3: Cross multiply
    756.58x = 1,134.74 × 345.62
  4. Step 4: Simplify right side
    756.58x = 392,188.84
  5. Step 5: Solve for x
    x = 392,188.84/756.58
  6. Step 6: Final answer
    x = 518.37

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