Home / 1,497.03-2,065.83-824.82

Finding the Fourth Proportional to 1,497.03, 2,065.83 and 824.82

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Solution

The fourth proportional to 1,497.03, 2,065.83 and 824.82 is: 1,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.03 : 2,065.83 = 824.82 : x
  2. Step 2: Convert to fraction form
    1,497.03/2,065.83 = 824.82/x
  3. Step 3: Cross multiply
    1,497.03x = 2,065.83 × 824.82
  4. Step 4: Simplify right side
    1,497.03x = 1,703,937.90
  5. Step 5: Solve for x
    x = 1,703,937.90/1,497.03
  6. Step 6: Final answer
    x = 1,138.21

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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.