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Finding the Fourth Proportional to 874.68, 1,310.74 and 803.10

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Solution

The fourth proportional to 874.68, 1,310.74 and 803.10 is: 1,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.68 : 1,310.74 = 803.10 : x
  2. Step 2: Convert to fraction form
    874.68/1,310.74 = 803.10/x
  3. Step 3: Cross multiply
    874.68x = 1,310.74 × 803.10
  4. Step 4: Simplify right side
    874.68x = 1,052,655.29
  5. Step 5: Solve for x
    x = 1,052,655.29/874.68
  6. Step 6: Final answer
    x = 1,203.47

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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.