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Finding the Fourth Proportional to 656.77, 906.32 and 376.81

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Solution

The fourth proportional to 656.77, 906.32 and 376.81 is: 519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.77 : 906.32 = 376.81 : x
  2. Step 2: Convert to fraction form
    656.77/906.32 = 376.81/x
  3. Step 3: Cross multiply
    656.77x = 906.32 × 376.81
  4. Step 4: Simplify right side
    656.77x = 341,510.44
  5. Step 5: Solve for x
    x = 341,510.44/656.77
  6. Step 6: Final answer
    x = 519.98

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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.