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Finding the Fourth Proportional to 1,156.31, 1,734.50 and 884.08

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Solution

The fourth proportional to 1,156.31, 1,734.50 and 884.08 is: 1,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.31 : 1,734.50 = 884.08 : x
  2. Step 2: Convert to fraction form
    1,156.31/1,734.50 = 884.08/x
  3. Step 3: Cross multiply
    1,156.31x = 1,734.50 × 884.08
  4. Step 4: Simplify right side
    1,156.31x = 1,533,441.14
  5. Step 5: Solve for x
    x = 1,533,441.14/1,156.31
  6. Step 6: Final answer
    x = 1,326.15

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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.