Home / 1,228.98-1,831.76-1,159.80

Finding the Fourth Proportional to 1,228.98, 1,831.76 and 1,159.80

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Solution

The fourth proportional to 1,228.98, 1,831.76 and 1,159.80 is: 1,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.98 : 1,831.76 = 1,159.80 : x
  2. Step 2: Convert to fraction form
    1,228.98/1,831.76 = 1,159.80/x
  3. Step 3: Cross multiply
    1,228.98x = 1,831.76 × 1,159.80
  4. Step 4: Simplify right side
    1,228.98x = 2,124,475.25
  5. Step 5: Solve for x
    x = 2,124,475.25/1,228.98
  6. Step 6: Final answer
    x = 1,728.65

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1.5x scale

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.