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Finding the Fourth Proportional to 555.91, 766.80 and 415.89

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Solution

The fourth proportional to 555.91, 766.80 and 415.89 is: 573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.91 : 766.80 = 415.89 : x
  2. Step 2: Convert to fraction form
    555.91/766.80 = 415.89/x
  3. Step 3: Cross multiply
    555.91x = 766.80 × 415.89
  4. Step 4: Simplify right side
    555.91x = 318,904.45
  5. Step 5: Solve for x
    x = 318,904.45/555.91
  6. Step 6: Final answer
    x = 573.66

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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.