Home / 1,677.24-2,516.36-800.40

Finding the Fourth Proportional to 1,677.24, 2,516.36 and 800.40

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Solution

The fourth proportional to 1,677.24, 2,516.36 and 800.40 is: 1,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.24 : 2,516.36 = 800.40 : x
  2. Step 2: Convert to fraction form
    1,677.24/2,516.36 = 800.40/x
  3. Step 3: Cross multiply
    1,677.24x = 2,516.36 × 800.40
  4. Step 4: Simplify right side
    1,677.24x = 2,014,094.54
  5. Step 5: Solve for x
    x = 2,014,094.54/1,677.24
  6. Step 6: Final answer
    x = 1,200.84

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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.