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Finding the Fourth Proportional to 555.26, 765.90 and 400.10

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Solution

The fourth proportional to 555.26, 765.90 and 400.10 is: 551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.26 : 765.90 = 400.10 : x
  2. Step 2: Convert to fraction form
    555.26/765.90 = 400.10/x
  3. Step 3: Cross multiply
    555.26x = 765.90 × 400.10
  4. Step 4: Simplify right side
    555.26x = 306,436.59
  5. Step 5: Solve for x
    x = 306,436.59/555.26
  6. Step 6: Final answer
    x = 551.88

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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.