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Finding the Fourth Proportional to 551.68, 759.41 and 476.96

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Solution

The fourth proportional to 551.68, 759.41 and 476.96 is: 656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.68 : 759.41 = 476.96 : x
  2. Step 2: Convert to fraction form
    551.68/759.41 = 476.96/x
  3. Step 3: Cross multiply
    551.68x = 759.41 × 476.96
  4. Step 4: Simplify right side
    551.68x = 362,208.19
  5. Step 5: Solve for x
    x = 362,208.19/551.68
  6. Step 6: Final answer
    x = 656.55

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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.