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Finding the Fourth Proportional to 570.39, 850.83 and 515.67

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Solution

The fourth proportional to 570.39, 850.83 and 515.67 is: 769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.39 : 850.83 = 515.67 : x
  2. Step 2: Convert to fraction form
    570.39/850.83 = 515.67/x
  3. Step 3: Cross multiply
    570.39x = 850.83 × 515.67
  4. Step 4: Simplify right side
    570.39x = 438,747.51
  5. Step 5: Solve for x
    x = 438,747.51/570.39
  6. Step 6: Final answer
    x = 769.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.