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Finding the Fourth Proportional to 926.67, 1,384.57 and 894.38

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Solution

The fourth proportional to 926.67, 1,384.57 and 894.38 is: 1,336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.67 : 1,384.57 = 894.38 : x
  2. Step 2: Convert to fraction form
    926.67/1,384.57 = 894.38/x
  3. Step 3: Cross multiply
    926.67x = 1,384.57 × 894.38
  4. Step 4: Simplify right side
    926.67x = 1,238,324.79
  5. Step 5: Solve for x
    x = 1,238,324.79/926.67
  6. Step 6: Final answer
    x = 1,336.32

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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.