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Finding the Fourth Proportional to 1,289.84, 1,780.28 and 824

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Solution

The fourth proportional to 1,289.84, 1,780.28 and 824 is: 1,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.84 : 1,780.28 = 824 : x
  2. Step 2: Convert to fraction form
    1,289.84/1,780.28 = 824/x
  3. Step 3: Cross multiply
    1,289.84x = 1,780.28 × 824
  4. Step 4: Simplify right side
    1,289.84x = 1,466,950.72
  5. Step 5: Solve for x
    x = 1,466,950.72/1,289.84
  6. Step 6: Final answer
    x = 1,137.31

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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.