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Finding the Fourth Proportional to 1,321.58, 1,822.77 and 823.30

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Solution

The fourth proportional to 1,321.58, 1,822.77 and 823.30 is: 1,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.58 : 1,822.77 = 823.30 : x
  2. Step 2: Convert to fraction form
    1,321.58/1,822.77 = 823.30/x
  3. Step 3: Cross multiply
    1,321.58x = 1,822.77 × 823.30
  4. Step 4: Simplify right side
    1,321.58x = 1,500,681.98
  5. Step 5: Solve for x
    x = 1,500,681.98/1,321.58
  6. Step 6: Final answer
    x = 1,135.52

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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.