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Finding the Fourth Proportional to 895.47, 1,344.82 and 857.19

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Solution

The fourth proportional to 895.47, 1,344.82 and 857.19 is: 1,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.47 : 1,344.82 = 857.19 : x
  2. Step 2: Convert to fraction form
    895.47/1,344.82 = 857.19/x
  3. Step 3: Cross multiply
    895.47x = 1,344.82 × 857.19
  4. Step 4: Simplify right side
    895.47x = 1,152,766.26
  5. Step 5: Solve for x
    x = 1,152,766.26/895.47
  6. Step 6: Final answer
    x = 1,287.33

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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.