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Finding the Fourth Proportional to 617.75, 849.93 and 534.59

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Solution

The fourth proportional to 617.75, 849.93 and 534.59 is: 735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.75 : 849.93 = 534.59 : x
  2. Step 2: Convert to fraction form
    617.75/849.93 = 534.59/x
  3. Step 3: Cross multiply
    617.75x = 849.93 × 534.59
  4. Step 4: Simplify right side
    617.75x = 454,364.08
  5. Step 5: Solve for x
    x = 454,364.08/617.75
  6. Step 6: Final answer
    x = 735.51

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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.