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Finding the Fourth Proportional to 615.37, 854.73 and 598.09

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Solution

The fourth proportional to 615.37, 854.73 and 598.09 is: 830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.37 : 854.73 = 598.09 : x
  2. Step 2: Convert to fraction form
    615.37/854.73 = 598.09/x
  3. Step 3: Cross multiply
    615.37x = 854.73 × 598.09
  4. Step 4: Simplify right side
    615.37x = 511,205.47
  5. Step 5: Solve for x
    x = 511,205.47/615.37
  6. Step 6: Final answer
    x = 830.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.