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Finding the Fourth Proportional to 872.64, 1,309.64 and 325.35

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Solution

The fourth proportional to 872.64, 1,309.64 and 325.35 is: 488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.64 : 1,309.64 = 325.35 : x
  2. Step 2: Convert to fraction form
    872.64/1,309.64 = 325.35/x
  3. Step 3: Cross multiply
    872.64x = 1,309.64 × 325.35
  4. Step 4: Simplify right side
    872.64x = 426,089.75
  5. Step 5: Solve for x
    x = 426,089.75/872.64
  6. Step 6: Final answer
    x = 488.28

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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.