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Finding the Fourth Proportional to 555.53, 765.99 and 415.41

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Solution

The fourth proportional to 555.53, 765.99 and 415.41 is: 572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.53 : 765.99 = 415.41 : x
  2. Step 2: Convert to fraction form
    555.53/765.99 = 415.41/x
  3. Step 3: Cross multiply
    555.53x = 765.99 × 415.41
  4. Step 4: Simplify right side
    555.53x = 318,199.91
  5. Step 5: Solve for x
    x = 318,199.91/555.53
  6. Step 6: Final answer
    x = 572.79

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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.