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Finding the Fourth Proportional to 896.47, 1,235.75 and 730.40

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Solution

The fourth proportional to 896.47, 1,235.75 and 730.40 is: 1,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.47 : 1,235.75 = 730.40 : x
  2. Step 2: Convert to fraction form
    896.47/1,235.75 = 730.40/x
  3. Step 3: Cross multiply
    896.47x = 1,235.75 × 730.40
  4. Step 4: Simplify right side
    896.47x = 902,581.97
  5. Step 5: Solve for x
    x = 902,581.97/896.47
  6. Step 6: Final answer
    x = 1,006.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.