Home / 1,147.09-1,582.63-704.71

Finding the Fourth Proportional to 1,147.09, 1,582.63 and 704.71

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Solution

The fourth proportional to 1,147.09, 1,582.63 and 704.71 is: 972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.09 : 1,582.63 = 704.71 : x
  2. Step 2: Convert to fraction form
    1,147.09/1,582.63 = 704.71/x
  3. Step 3: Cross multiply
    1,147.09x = 1,582.63 × 704.71
  4. Step 4: Simplify right side
    1,147.09x = 1,115,295.19
  5. Step 5: Solve for x
    x = 1,115,295.19/1,147.09
  6. Step 6: Final answer
    x = 972.28

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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.