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Finding the Fourth Proportional to 954.78, 1,423.44 and 942.60

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Solution

The fourth proportional to 954.78, 1,423.44 and 942.60 is: 1,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.78 : 1,423.44 = 942.60 : x
  2. Step 2: Convert to fraction form
    954.78/1,423.44 = 942.60/x
  3. Step 3: Cross multiply
    954.78x = 1,423.44 × 942.60
  4. Step 4: Simplify right side
    954.78x = 1,341,734.54
  5. Step 5: Solve for x
    x = 1,341,734.54/954.78
  6. Step 6: Final answer
    x = 1,405.28

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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.