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Finding the Fourth Proportional to 895.26, 1,348.16 and 665.78

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Solution

The fourth proportional to 895.26, 1,348.16 and 665.78 is: 1,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.26 : 1,348.16 = 665.78 : x
  2. Step 2: Convert to fraction form
    895.26/1,348.16 = 665.78/x
  3. Step 3: Cross multiply
    895.26x = 1,348.16 × 665.78
  4. Step 4: Simplify right side
    895.26x = 897,577.96
  5. Step 5: Solve for x
    x = 897,577.96/895.26
  6. Step 6: Final answer
    x = 1,002.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.