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Finding the Fourth Proportional to 869.79, 1,200.28 and 520.67

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Solution

The fourth proportional to 869.79, 1,200.28 and 520.67 is: 718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.79 : 1,200.28 = 520.67 : x
  2. Step 2: Convert to fraction form
    869.79/1,200.28 = 520.67/x
  3. Step 3: Cross multiply
    869.79x = 1,200.28 × 520.67
  4. Step 4: Simplify right side
    869.79x = 624,947.18
  5. Step 5: Solve for x
    x = 624,947.18/869.79
  6. Step 6: Final answer
    x = 718.50

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