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Finding the Fourth Proportional to 895.63, 1,344.28 and 634.89

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Solution

The fourth proportional to 895.63, 1,344.28 and 634.89 is: 952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.63 : 1,344.28 = 634.89 : x
  2. Step 2: Convert to fraction form
    895.63/1,344.28 = 634.89/x
  3. Step 3: Cross multiply
    895.63x = 1,344.28 × 634.89
  4. Step 4: Simplify right side
    895.63x = 853,469.93
  5. Step 5: Solve for x
    x = 853,469.93/895.63
  6. Step 6: Final answer
    x = 952.93

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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.