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Finding the Fourth Proportional to 617.94, 852.84 and 598.82

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Solution

The fourth proportional to 617.94, 852.84 and 598.82 is: 826.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.94 : 852.84 = 598.82 : x
  2. Step 2: Convert to fraction form
    617.94/852.84 = 598.82/x
  3. Step 3: Cross multiply
    617.94x = 852.84 × 598.82
  4. Step 4: Simplify right side
    617.94x = 510,693.38
  5. Step 5: Solve for x
    x = 510,693.38/617.94
  6. Step 6: Final answer
    x = 826.44

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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.