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Finding the Fourth Proportional to 677.94, 923.68 and 662.90

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Solution

The fourth proportional to 677.94, 923.68 and 662.90 is: 903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.94 : 923.68 = 662.90 : x
  2. Step 2: Convert to fraction form
    677.94/923.68 = 662.90/x
  3. Step 3: Cross multiply
    677.94x = 923.68 × 662.90
  4. Step 4: Simplify right side
    677.94x = 612,307.47
  5. Step 5: Solve for x
    x = 612,307.47/677.94
  6. Step 6: Final answer
    x = 903.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.