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Finding the Fourth Proportional to 1,661.45, 2,492.32 and 428.85

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Solution

The fourth proportional to 1,661.45, 2,492.32 and 428.85 is: 643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.45 : 2,492.32 = 428.85 : x
  2. Step 2: Convert to fraction form
    1,661.45/2,492.32 = 428.85/x
  3. Step 3: Cross multiply
    1,661.45x = 2,492.32 × 428.85
  4. Step 4: Simplify right side
    1,661.45x = 1,068,831.43
  5. Step 5: Solve for x
    x = 1,068,831.43/1,661.45
  6. Step 6: Final answer
    x = 643.31

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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.