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Finding the Fourth Proportional to 1,223.99, 1,831.64 and 761.99

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Solution

The fourth proportional to 1,223.99, 1,831.64 and 761.99 is: 1,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.99 : 1,831.64 = 761.99 : x
  2. Step 2: Convert to fraction form
    1,223.99/1,831.64 = 761.99/x
  3. Step 3: Cross multiply
    1,223.99x = 1,831.64 × 761.99
  4. Step 4: Simplify right side
    1,223.99x = 1,395,678.40
  5. Step 5: Solve for x
    x = 1,395,678.40/1,223.99
  6. Step 6: Final answer
    x = 1,140.27

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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.