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Finding the Fourth Proportional to 1,831.55, 2,747.23 and 598.79

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Solution

The fourth proportional to 1,831.55, 2,747.23 and 598.79 is: 898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.55 : 2,747.23 = 598.79 : x
  2. Step 2: Convert to fraction form
    1,831.55/2,747.23 = 598.79/x
  3. Step 3: Cross multiply
    1,831.55x = 2,747.23 × 598.79
  4. Step 4: Simplify right side
    1,831.55x = 1,645,021.47
  5. Step 5: Solve for x
    x = 1,645,021.47/1,831.55
  6. Step 6: Final answer
    x = 898.16

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1.5x scale

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.