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Finding the Fourth Proportional to 1,269.34, 1,751.43 and 803.50

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Solution

The fourth proportional to 1,269.34, 1,751.43 and 803.50 is: 1,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.34 : 1,751.43 = 803.50 : x
  2. Step 2: Convert to fraction form
    1,269.34/1,751.43 = 803.50/x
  3. Step 3: Cross multiply
    1,269.34x = 1,751.43 × 803.50
  4. Step 4: Simplify right side
    1,269.34x = 1,407,274.01
  5. Step 5: Solve for x
    x = 1,407,274.01/1,269.34
  6. Step 6: Final answer
    x = 1,108.67

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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.