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Finding the Fourth Proportional to 589.40, 810.01 and 484.31

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Solution

The fourth proportional to 589.40, 810.01 and 484.31 is: 665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.40 : 810.01 = 484.31 : x
  2. Step 2: Convert to fraction form
    589.40/810.01 = 484.31/x
  3. Step 3: Cross multiply
    589.40x = 810.01 × 484.31
  4. Step 4: Simplify right side
    589.40x = 392,290.68
  5. Step 5: Solve for x
    x = 392,290.68/589.40
  6. Step 6: Final answer
    x = 665.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.