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Finding the Fourth Proportional to 555.53, 766.64 and 334.43

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Solution

The fourth proportional to 555.53, 766.64 and 334.43 is: 461.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.53 : 766.64 = 334.43 : x
  2. Step 2: Convert to fraction form
    555.53/766.64 = 334.43/x
  3. Step 3: Cross multiply
    555.53x = 766.64 × 334.43
  4. Step 4: Simplify right side
    555.53x = 256,387.66
  5. Step 5: Solve for x
    x = 256,387.66/555.53
  6. Step 6: Final answer
    x = 461.52

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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.