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Finding the Fourth Proportional to 884.31, 1,325.88 and 307.05

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Solution

The fourth proportional to 884.31, 1,325.88 and 307.05 is: 460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.31 : 1,325.88 = 307.05 : x
  2. Step 2: Convert to fraction form
    884.31/1,325.88 = 307.05/x
  3. Step 3: Cross multiply
    884.31x = 1,325.88 × 307.05
  4. Step 4: Simplify right side
    884.31x = 407,111.45
  5. Step 5: Solve for x
    x = 407,111.45/884.31
  6. Step 6: Final answer
    x = 460.37

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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.