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Finding the Fourth Proportional to 1,034.87, 1,550.85 and 802.67

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Solution

The fourth proportional to 1,034.87, 1,550.85 and 802.67 is: 1,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.87 : 1,550.85 = 802.67 : x
  2. Step 2: Convert to fraction form
    1,034.87/1,550.85 = 802.67/x
  3. Step 3: Cross multiply
    1,034.87x = 1,550.85 × 802.67
  4. Step 4: Simplify right side
    1,034.87x = 1,244,813.02
  5. Step 5: Solve for x
    x = 1,244,813.02/1,034.87
  6. Step 6: Final answer
    x = 1,202.87

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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.