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Finding the Fourth Proportional to 1,113.96, 1,661.16 and 960.96

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Solution

The fourth proportional to 1,113.96, 1,661.16 and 960.96 is: 1,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.96 : 1,661.16 = 960.96 : x
  2. Step 2: Convert to fraction form
    1,113.96/1,661.16 = 960.96/x
  3. Step 3: Cross multiply
    1,113.96x = 1,661.16 × 960.96
  4. Step 4: Simplify right side
    1,113.96x = 1,596,308.31
  5. Step 5: Solve for x
    x = 1,596,308.31/1,113.96
  6. Step 6: Final answer
    x = 1,433.00

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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.