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Finding the Fourth Proportional to 494.63, 677.64 and 476.17

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Solution

The fourth proportional to 494.63, 677.64 and 476.17 is: 652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.63 : 677.64 = 476.17 : x
  2. Step 2: Convert to fraction form
    494.63/677.64 = 476.17/x
  3. Step 3: Cross multiply
    494.63x = 677.64 × 476.17
  4. Step 4: Simplify right side
    494.63x = 322,671.84
  5. Step 5: Solve for x
    x = 322,671.84/494.63
  6. Step 6: Final answer
    x = 652.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.