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Finding the Fourth Proportional to 884.56, 1,326.98 and 291.40

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Solution

The fourth proportional to 884.56, 1,326.98 and 291.40 is: 437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.56 : 1,326.98 = 291.40 : x
  2. Step 2: Convert to fraction form
    884.56/1,326.98 = 291.40/x
  3. Step 3: Cross multiply
    884.56x = 1,326.98 × 291.40
  4. Step 4: Simplify right side
    884.56x = 386,681.97
  5. Step 5: Solve for x
    x = 386,681.97/884.56
  6. Step 6: Final answer
    x = 437.15

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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.