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Finding the Fourth Proportional to 1,407.84, 1,942.20 and 966.48

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Solution

The fourth proportional to 1,407.84, 1,942.20 and 966.48 is: 1,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.84 : 1,942.20 = 966.48 : x
  2. Step 2: Convert to fraction form
    1,407.84/1,942.20 = 966.48/x
  3. Step 3: Cross multiply
    1,407.84x = 1,942.20 × 966.48
  4. Step 4: Simplify right side
    1,407.84x = 1,877,097.46
  5. Step 5: Solve for x
    x = 1,877,097.46/1,407.84
  6. Step 6: Final answer
    x = 1,333.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.