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Finding the Fourth Proportional to 895.30, 1,336.46 and 827.64

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Solution

The fourth proportional to 895.30, 1,336.46 and 827.64 is: 1,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.30 : 1,336.46 = 827.64 : x
  2. Step 2: Convert to fraction form
    895.30/1,336.46 = 827.64/x
  3. Step 3: Cross multiply
    895.30x = 1,336.46 × 827.64
  4. Step 4: Simplify right side
    895.30x = 1,106,113.19
  5. Step 5: Solve for x
    x = 1,106,113.19/895.30
  6. Step 6: Final answer
    x = 1,235.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.