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Finding the Fourth Proportional to 822.91, 1,135.68 and 491.35

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Solution

The fourth proportional to 822.91, 1,135.68 and 491.35 is: 678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.91 : 1,135.68 = 491.35 : x
  2. Step 2: Convert to fraction form
    822.91/1,135.68 = 491.35/x
  3. Step 3: Cross multiply
    822.91x = 1,135.68 × 491.35
  4. Step 4: Simplify right side
    822.91x = 558,016.37
  5. Step 5: Solve for x
    x = 558,016.37/822.91
  6. Step 6: Final answer
    x = 678.10

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