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Finding the Fourth Proportional to 821.68, 1,134.48 and 589.48

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Solution

The fourth proportional to 821.68, 1,134.48 and 589.48 is: 813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.68 : 1,134.48 = 589.48 : x
  2. Step 2: Convert to fraction form
    821.68/1,134.48 = 589.48/x
  3. Step 3: Cross multiply
    821.68x = 1,134.48 × 589.48
  4. Step 4: Simplify right side
    821.68x = 668,753.27
  5. Step 5: Solve for x
    x = 668,753.27/821.68
  6. Step 6: Final answer
    x = 813.89

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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.