Home / 1,416.46-2,124.80-800.66

Finding the Fourth Proportional to 1,416.46, 2,124.80 and 800.66

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Solution

The fourth proportional to 1,416.46, 2,124.80 and 800.66 is: 1,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.46 : 2,124.80 = 800.66 : x
  2. Step 2: Convert to fraction form
    1,416.46/2,124.80 = 800.66/x
  3. Step 3: Cross multiply
    1,416.46x = 2,124.80 × 800.66
  4. Step 4: Simplify right side
    1,416.46x = 1,701,242.37
  5. Step 5: Solve for x
    x = 1,701,242.37/1,416.46
  6. Step 6: Final answer
    x = 1,201.05

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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.