Home / 1,217.36-1,677.34-823.70

Finding the Fourth Proportional to 1,217.36, 1,677.34 and 823.70

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Solution

The fourth proportional to 1,217.36, 1,677.34 and 823.70 is: 1,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.36 : 1,677.34 = 823.70 : x
  2. Step 2: Convert to fraction form
    1,217.36/1,677.34 = 823.70/x
  3. Step 3: Cross multiply
    1,217.36x = 1,677.34 × 823.70
  4. Step 4: Simplify right side
    1,217.36x = 1,381,614.51
  5. Step 5: Solve for x
    x = 1,381,614.51/1,217.36
  6. Step 6: Final answer
    x = 1,134.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.