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Finding the Fourth Proportional to 589.68, 814.14 and 415.20

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Solution

The fourth proportional to 589.68, 814.14 and 415.20 is: 573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 814.14 = 415.20 : x
  2. Step 2: Convert to fraction form
    589.68/814.14 = 415.20/x
  3. Step 3: Cross multiply
    589.68x = 814.14 × 415.20
  4. Step 4: Simplify right side
    589.68x = 338,030.93
  5. Step 5: Solve for x
    x = 338,030.93/589.68
  6. Step 6: Final answer
    x = 573.24

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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.