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Finding the Fourth Proportional to 884.48, 1,326.72 and 307.40

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Solution

The fourth proportional to 884.48, 1,326.72 and 307.40 is: 461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.48 : 1,326.72 = 307.40 : x
  2. Step 2: Convert to fraction form
    884.48/1,326.72 = 307.40/x
  3. Step 3: Cross multiply
    884.48x = 1,326.72 × 307.40
  4. Step 4: Simplify right side
    884.48x = 407,833.73
  5. Step 5: Solve for x
    x = 407,833.73/884.48
  6. Step 6: Final answer
    x = 461.10

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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.