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Finding the Fourth Proportional to 842.65, 1,262.01 and 813.45

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Solution

The fourth proportional to 842.65, 1,262.01 and 813.45 is: 1,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.65 : 1,262.01 = 813.45 : x
  2. Step 2: Convert to fraction form
    842.65/1,262.01 = 813.45/x
  3. Step 3: Cross multiply
    842.65x = 1,262.01 × 813.45
  4. Step 4: Simplify right side
    842.65x = 1,026,582.03
  5. Step 5: Solve for x
    x = 1,026,582.03/842.65
  6. Step 6: Final answer
    x = 1,218.28

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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.