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Finding the Fourth Proportional to 756.16, 1,134.14 and 390.85

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Solution

The fourth proportional to 756.16, 1,134.14 and 390.85 is: 586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.16 : 1,134.14 = 390.85 : x
  2. Step 2: Convert to fraction form
    756.16/1,134.14 = 390.85/x
  3. Step 3: Cross multiply
    756.16x = 1,134.14 × 390.85
  4. Step 4: Simplify right side
    756.16x = 443,273.83
  5. Step 5: Solve for x
    x = 443,273.83/756.16
  6. Step 6: Final answer
    x = 586.22

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Why These Related Problems?

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