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Finding the Fourth Proportional to 850.81, 1,174.59 and 514.78

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Solution

The fourth proportional to 850.81, 1,174.59 and 514.78 is: 710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.81 : 1,174.59 = 514.78 : x
  2. Step 2: Convert to fraction form
    850.81/1,174.59 = 514.78/x
  3. Step 3: Cross multiply
    850.81x = 1,174.59 × 514.78
  4. Step 4: Simplify right side
    850.81x = 604,646.99
  5. Step 5: Solve for x
    x = 604,646.99/850.81
  6. Step 6: Final answer
    x = 710.67

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Why These Related Problems?

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