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Finding the Fourth Proportional to 895.67, 1,341.78 and 699.75

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Solution

The fourth proportional to 895.67, 1,341.78 and 699.75 is: 1,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.67 : 1,341.78 = 699.75 : x
  2. Step 2: Convert to fraction form
    895.67/1,341.78 = 699.75/x
  3. Step 3: Cross multiply
    895.67x = 1,341.78 × 699.75
  4. Step 4: Simplify right side
    895.67x = 938,910.56
  5. Step 5: Solve for x
    x = 938,910.56/895.67
  6. Step 6: Final answer
    x = 1,048.28

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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.