Home / 589.06-811.38-414.10

Finding the Fourth Proportional to 589.06, 811.38 and 414.10

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Solution

The fourth proportional to 589.06, 811.38 and 414.10 is: 570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.06 : 811.38 = 414.10 : x
  2. Step 2: Convert to fraction form
    589.06/811.38 = 414.10/x
  3. Step 3: Cross multiply
    589.06x = 811.38 × 414.10
  4. Step 4: Simplify right side
    589.06x = 335,992.46
  5. Step 5: Solve for x
    x = 335,992.46/589.06
  6. Step 6: Final answer
    x = 570.39

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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.