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Finding the Fourth Proportional to 589.64, 814.50 and 534.44

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Solution

The fourth proportional to 589.64, 814.50 and 534.44 is: 738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.64 : 814.50 = 534.44 : x
  2. Step 2: Convert to fraction form
    589.64/814.50 = 534.44/x
  3. Step 3: Cross multiply
    589.64x = 814.50 × 534.44
  4. Step 4: Simplify right side
    589.64x = 435,301.38
  5. Step 5: Solve for x
    x = 435,301.38/589.64
  6. Step 6: Final answer
    x = 738.25

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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.