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Finding the Fourth Proportional to 847.37, 1,270.70 and 522.65

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Solution

The fourth proportional to 847.37, 1,270.70 and 522.65 is: 783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.37 : 1,270.70 = 522.65 : x
  2. Step 2: Convert to fraction form
    847.37/1,270.70 = 522.65/x
  3. Step 3: Cross multiply
    847.37x = 1,270.70 × 522.65
  4. Step 4: Simplify right side
    847.37x = 664,128.74
  5. Step 5: Solve for x
    x = 664,128.74/847.37
  6. Step 6: Final answer
    x = 783.75

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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.