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Finding the Fourth Proportional to 873.14, 1,309.19 and 385.65

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Solution

The fourth proportional to 873.14, 1,309.19 and 385.65 is: 578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.14 : 1,309.19 = 385.65 : x
  2. Step 2: Convert to fraction form
    873.14/1,309.19 = 385.65/x
  3. Step 3: Cross multiply
    873.14x = 1,309.19 × 385.65
  4. Step 4: Simplify right side
    873.14x = 504,887.20
  5. Step 5: Solve for x
    x = 504,887.20/873.14
  6. Step 6: Final answer
    x = 578.25

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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.