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Finding the Fourth Proportional to 873.49, 1,309.78 and 325.22

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Solution

The fourth proportional to 873.49, 1,309.78 and 325.22 is: 487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.49 : 1,309.78 = 325.22 : x
  2. Step 2: Convert to fraction form
    873.49/1,309.78 = 325.22/x
  3. Step 3: Cross multiply
    873.49x = 1,309.78 × 325.22
  4. Step 4: Simplify right side
    873.49x = 425,968.23
  5. Step 5: Solve for x
    x = 425,968.23/873.49
  6. Step 6: Final answer
    x = 487.66

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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.