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Finding the Fourth Proportional to 896.48, 1,337.20 and 857.60

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Solution

The fourth proportional to 896.48, 1,337.20 and 857.60 is: 1,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.48 : 1,337.20 = 857.60 : x
  2. Step 2: Convert to fraction form
    896.48/1,337.20 = 857.60/x
  3. Step 3: Cross multiply
    896.48x = 1,337.20 × 857.60
  4. Step 4: Simplify right side
    896.48x = 1,146,782.72
  5. Step 5: Solve for x
    x = 1,146,782.72/896.48
  6. Step 6: Final answer
    x = 1,279.21

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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.