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Finding the Fourth Proportional to 984.50, 1,477.12 and 522.26

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Solution

The fourth proportional to 984.50, 1,477.12 and 522.26 is: 783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.50 : 1,477.12 = 522.26 : x
  2. Step 2: Convert to fraction form
    984.50/1,477.12 = 522.26/x
  3. Step 3: Cross multiply
    984.50x = 1,477.12 × 522.26
  4. Step 4: Simplify right side
    984.50x = 771,440.69
  5. Step 5: Solve for x
    x = 771,440.69/984.50
  6. Step 6: Final answer
    x = 783.59

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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.