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Finding the Fourth Proportional to 756.56, 1,134.95 and 391.25

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Solution

The fourth proportional to 756.56, 1,134.95 and 391.25 is: 586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.56 : 1,134.95 = 391.25 : x
  2. Step 2: Convert to fraction form
    756.56/1,134.95 = 391.25/x
  3. Step 3: Cross multiply
    756.56x = 1,134.95 × 391.25
  4. Step 4: Simplify right side
    756.56x = 444,050.07
  5. Step 5: Solve for x
    x = 444,050.07/756.56
  6. Step 6: Final answer
    x = 586.93

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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.