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Finding the Fourth Proportional to 895.36, 1,234.56 and 708.48

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Solution

The fourth proportional to 895.36, 1,234.56 and 708.48 is: 976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.36 : 1,234.56 = 708.48 : x
  2. Step 2: Convert to fraction form
    895.36/1,234.56 = 708.48/x
  3. Step 3: Cross multiply
    895.36x = 1,234.56 × 708.48
  4. Step 4: Simplify right side
    895.36x = 874,661.07
  5. Step 5: Solve for x
    x = 874,661.07/895.36
  6. Step 6: Final answer
    x = 976.88

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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.