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Finding the Fourth Proportional to 617.77, 920.21 and 589.69

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Solution

The fourth proportional to 617.77, 920.21 and 589.69 is: 878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.77 : 920.21 = 589.69 : x
  2. Step 2: Convert to fraction form
    617.77/920.21 = 589.69/x
  3. Step 3: Cross multiply
    617.77x = 920.21 × 589.69
  4. Step 4: Simplify right side
    617.77x = 542,638.63
  5. Step 5: Solve for x
    x = 542,638.63/617.77
  6. Step 6: Final answer
    x = 878.38

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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.