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Finding the Fourth Proportional to 869.90, 1,200.33 and 520.50

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Solution

The fourth proportional to 869.90, 1,200.33 and 520.50 is: 718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.90 : 1,200.33 = 520.50 : x
  2. Step 2: Convert to fraction form
    869.90/1,200.33 = 520.50/x
  3. Step 3: Cross multiply
    869.90x = 1,200.33 × 520.50
  4. Step 4: Simplify right side
    869.90x = 624,771.77
  5. Step 5: Solve for x
    x = 624,771.77/869.90
  6. Step 6: Final answer
    x = 718.21

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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.