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Finding the Fourth Proportional to 929.16, 1,274.63 and 873.27

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Solution

The fourth proportional to 929.16, 1,274.63 and 873.27 is: 1,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.16 : 1,274.63 = 873.27 : x
  2. Step 2: Convert to fraction form
    929.16/1,274.63 = 873.27/x
  3. Step 3: Cross multiply
    929.16x = 1,274.63 × 873.27
  4. Step 4: Simplify right side
    929.16x = 1,113,091.77
  5. Step 5: Solve for x
    x = 1,113,091.77/929.16
  6. Step 6: Final answer
    x = 1,197.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.