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Finding the Fourth Proportional to 895.28, 1,235.36 and 496.88

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Solution

The fourth proportional to 895.28, 1,235.36 and 496.88 is: 685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.28 : 1,235.36 = 496.88 : x
  2. Step 2: Convert to fraction form
    895.28/1,235.36 = 496.88/x
  3. Step 3: Cross multiply
    895.28x = 1,235.36 × 496.88
  4. Step 4: Simplify right side
    895.28x = 613,825.68
  5. Step 5: Solve for x
    x = 613,825.68/895.28
  6. Step 6: Final answer
    x = 685.62

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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.