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Finding the Fourth Proportional to 617.18, 920.34 and 611.63

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Solution

The fourth proportional to 617.18, 920.34 and 611.63 is: 912.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.18 : 920.34 = 611.63 : x
  2. Step 2: Convert to fraction form
    617.18/920.34 = 611.63/x
  3. Step 3: Cross multiply
    617.18x = 920.34 × 611.63
  4. Step 4: Simplify right side
    617.18x = 562,907.55
  5. Step 5: Solve for x
    x = 562,907.55/617.18
  6. Step 6: Final answer
    x = 912.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.