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Finding the Fourth Proportional to 873.61, 1,309.59 and 325.42

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Solution

The fourth proportional to 873.61, 1,309.59 and 325.42 is: 487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.61 : 1,309.59 = 325.42 : x
  2. Step 2: Convert to fraction form
    873.61/1,309.59 = 325.42/x
  3. Step 3: Cross multiply
    873.61x = 1,309.59 × 325.42
  4. Step 4: Simplify right side
    873.61x = 426,166.78
  5. Step 5: Solve for x
    x = 426,166.78/873.61
  6. Step 6: Final answer
    x = 487.82

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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.