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Finding the Fourth Proportional to 896.56, 1,235.76 and 616.32

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Solution

The fourth proportional to 896.56, 1,235.76 and 616.32 is: 849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.56 : 1,235.76 = 616.32 : x
  2. Step 2: Convert to fraction form
    896.56/1,235.76 = 616.32/x
  3. Step 3: Cross multiply
    896.56x = 1,235.76 × 616.32
  4. Step 4: Simplify right side
    896.56x = 761,623.60
  5. Step 5: Solve for x
    x = 761,623.60/896.56
  6. Step 6: Final answer
    x = 849.50

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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.