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Finding the Fourth Proportional to 873.75, 1,311.23 and 360.75

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Solution

The fourth proportional to 873.75, 1,311.23 and 360.75 is: 541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.75 : 1,311.23 = 360.75 : x
  2. Step 2: Convert to fraction form
    873.75/1,311.23 = 360.75/x
  3. Step 3: Cross multiply
    873.75x = 1,311.23 × 360.75
  4. Step 4: Simplify right side
    873.75x = 473,026.22
  5. Step 5: Solve for x
    x = 473,026.22/873.75
  6. Step 6: Final answer
    x = 541.37

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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.