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Finding the Fourth Proportional to 927.60, 1,384.78 and 895.16

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Solution

The fourth proportional to 927.60, 1,384.78 and 895.16 is: 1,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.60 : 1,384.78 = 895.16 : x
  2. Step 2: Convert to fraction form
    927.60/1,384.78 = 895.16/x
  3. Step 3: Cross multiply
    927.60x = 1,384.78 × 895.16
  4. Step 4: Simplify right side
    927.60x = 1,239,588.27
  5. Step 5: Solve for x
    x = 1,239,588.27/927.60
  6. Step 6: Final answer
    x = 1,336.33

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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.