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Finding the Fourth Proportional to 895.50, 1,344.74 and 828.14

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Solution

The fourth proportional to 895.50, 1,344.74 and 828.14 is: 1,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.50 : 1,344.74 = 828.14 : x
  2. Step 2: Convert to fraction form
    895.50/1,344.74 = 828.14/x
  3. Step 3: Cross multiply
    895.50x = 1,344.74 × 828.14
  4. Step 4: Simplify right side
    895.50x = 1,113,622.12
  5. Step 5: Solve for x
    x = 1,113,622.12/895.50
  6. Step 6: Final answer
    x = 1,243.58

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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.