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Finding the Fourth Proportional to 555.63, 766.69 and 306.91

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Solution

The fourth proportional to 555.63, 766.69 and 306.91 is: 423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.63 : 766.69 = 306.91 : x
  2. Step 2: Convert to fraction form
    555.63/766.69 = 306.91/x
  3. Step 3: Cross multiply
    555.63x = 766.69 × 306.91
  4. Step 4: Simplify right side
    555.63x = 235,304.83
  5. Step 5: Solve for x
    x = 235,304.83/555.63
  6. Step 6: Final answer
    x = 423.49

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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.