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Finding the Fourth Proportional to 822.54, 1,135.14 and 589.26

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Solution

The fourth proportional to 822.54, 1,135.14 and 589.26 is: 813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.54 : 1,135.14 = 589.26 : x
  2. Step 2: Convert to fraction form
    822.54/1,135.14 = 589.26/x
  3. Step 3: Cross multiply
    822.54x = 1,135.14 × 589.26
  4. Step 4: Simplify right side
    822.54x = 668,892.60
  5. Step 5: Solve for x
    x = 668,892.60/822.54
  6. Step 6: Final answer
    x = 813.20

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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.