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Finding the Fourth Proportional to 935.04, 1,395.36 and 842.88

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Solution

The fourth proportional to 935.04, 1,395.36 and 842.88 is: 1,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.04 : 1,395.36 = 842.88 : x
  2. Step 2: Convert to fraction form
    935.04/1,395.36 = 842.88/x
  3. Step 3: Cross multiply
    935.04x = 1,395.36 × 842.88
  4. Step 4: Simplify right side
    935.04x = 1,176,121.04
  5. Step 5: Solve for x
    x = 1,176,121.04/935.04
  6. Step 6: Final answer
    x = 1,257.83

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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.