Home / 1,009.26-1,516.59-943.65

Finding the Fourth Proportional to 1,009.26, 1,516.59 and 943.65

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Solution

The fourth proportional to 1,009.26, 1,516.59 and 943.65 is: 1,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.26 : 1,516.59 = 943.65 : x
  2. Step 2: Convert to fraction form
    1,009.26/1,516.59 = 943.65/x
  3. Step 3: Cross multiply
    1,009.26x = 1,516.59 × 943.65
  4. Step 4: Simplify right side
    1,009.26x = 1,431,130.15
  5. Step 5: Solve for x
    x = 1,431,130.15/1,009.26
  6. Step 6: Final answer
    x = 1,418.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.