Home / 1,223.05-1,831.97-565.47

Finding the Fourth Proportional to 1,223.05, 1,831.97 and 565.47

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Solution

The fourth proportional to 1,223.05, 1,831.97 and 565.47 is: 846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.05 : 1,831.97 = 565.47 : x
  2. Step 2: Convert to fraction form
    1,223.05/1,831.97 = 565.47/x
  3. Step 3: Cross multiply
    1,223.05x = 1,831.97 × 565.47
  4. Step 4: Simplify right side
    1,223.05x = 1,035,914.92
  5. Step 5: Solve for x
    x = 1,035,914.92/1,223.05
  6. Step 6: Final answer
    x = 846.99

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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.