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Finding the Fourth Proportional to 994.68, 1,483.51 and 942.84

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Solution

The fourth proportional to 994.68, 1,483.51 and 942.84 is: 1,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.68 : 1,483.51 = 942.84 : x
  2. Step 2: Convert to fraction form
    994.68/1,483.51 = 942.84/x
  3. Step 3: Cross multiply
    994.68x = 1,483.51 × 942.84
  4. Step 4: Simplify right side
    994.68x = 1,398,712.57
  5. Step 5: Solve for x
    x = 1,398,712.57/994.68
  6. Step 6: Final answer
    x = 1,406.19

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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.