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Finding the Fourth Proportional to 930.48, 1,393.83 and 442.05

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Solution

The fourth proportional to 930.48, 1,393.83 and 442.05 is: 662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.48 : 1,393.83 = 442.05 : x
  2. Step 2: Convert to fraction form
    930.48/1,393.83 = 442.05/x
  3. Step 3: Cross multiply
    930.48x = 1,393.83 × 442.05
  4. Step 4: Simplify right side
    930.48x = 616,142.55
  5. Step 5: Solve for x
    x = 616,142.55/930.48
  6. Step 6: Final answer
    x = 662.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.