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Finding the Fourth Proportional to 775.51, 1,161.81 and 501.05

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Solution

The fourth proportional to 775.51, 1,161.81 and 501.05 is: 750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.51 : 1,161.81 = 501.05 : x
  2. Step 2: Convert to fraction form
    775.51/1,161.81 = 501.05/x
  3. Step 3: Cross multiply
    775.51x = 1,161.81 × 501.05
  4. Step 4: Simplify right side
    775.51x = 582,127.81
  5. Step 5: Solve for x
    x = 582,127.81/775.51
  6. Step 6: Final answer
    x = 750.64

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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.