Home / 1,161.02-1,730.32-1,159.22

Finding the Fourth Proportional to 1,161.02, 1,730.32 and 1,159.22

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Solution

The fourth proportional to 1,161.02, 1,730.32 and 1,159.22 is: 1,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.02 : 1,730.32 = 1,159.22 : x
  2. Step 2: Convert to fraction form
    1,161.02/1,730.32 = 1,159.22/x
  3. Step 3: Cross multiply
    1,161.02x = 1,730.32 × 1,159.22
  4. Step 4: Simplify right side
    1,161.02x = 2,005,821.55
  5. Step 5: Solve for x
    x = 2,005,821.55/1,161.02
  6. Step 6: Final answer
    x = 1,727.64

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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.