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Finding the Fourth Proportional to 930.05, 1,384.45 and 916.21

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Solution

The fourth proportional to 930.05, 1,384.45 and 916.21 is: 1,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.05 : 1,384.45 = 916.21 : x
  2. Step 2: Convert to fraction form
    930.05/1,384.45 = 916.21/x
  3. Step 3: Cross multiply
    930.05x = 1,384.45 × 916.21
  4. Step 4: Simplify right side
    930.05x = 1,268,446.93
  5. Step 5: Solve for x
    x = 1,268,446.93/930.05
  6. Step 6: Final answer
    x = 1,363.85

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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.