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Finding the Fourth Proportional to 617.77, 927.29 and 482.32

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Solution

The fourth proportional to 617.77, 927.29 and 482.32 is: 723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.77 : 927.29 = 482.32 : x
  2. Step 2: Convert to fraction form
    617.77/927.29 = 482.32/x
  3. Step 3: Cross multiply
    617.77x = 927.29 × 482.32
  4. Step 4: Simplify right side
    617.77x = 447,250.51
  5. Step 5: Solve for x
    x = 447,250.51/617.77
  6. Step 6: Final answer
    x = 723.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.