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Finding the Fourth Proportional to 1,019.63, 1,520.17 and 957.66

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Solution

The fourth proportional to 1,019.63, 1,520.17 and 957.66 is: 1,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.63 : 1,520.17 = 957.66 : x
  2. Step 2: Convert to fraction form
    1,019.63/1,520.17 = 957.66/x
  3. Step 3: Cross multiply
    1,019.63x = 1,520.17 × 957.66
  4. Step 4: Simplify right side
    1,019.63x = 1,455,806.00
  5. Step 5: Solve for x
    x = 1,455,806.00/1,019.63
  6. Step 6: Final answer
    x = 1,427.78

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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.