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Finding the Fourth Proportional to 957.63, 1,429.17 and 933.03

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Solution

The fourth proportional to 957.63, 1,429.17 and 933.03 is: 1,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.63 : 1,429.17 = 933.03 : x
  2. Step 2: Convert to fraction form
    957.63/1,429.17 = 933.03/x
  3. Step 3: Cross multiply
    957.63x = 1,429.17 × 933.03
  4. Step 4: Simplify right side
    957.63x = 1,333,450.97
  5. Step 5: Solve for x
    x = 1,333,450.97/957.63
  6. Step 6: Final answer
    x = 1,392.45

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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.