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Finding the Fourth Proportional to 554.89, 829.29 and 511.11

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Solution

The fourth proportional to 554.89, 829.29 and 511.11 is: 763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.89 : 829.29 = 511.11 : x
  2. Step 2: Convert to fraction form
    554.89/829.29 = 511.11/x
  3. Step 3: Cross multiply
    554.89x = 829.29 × 511.11
  4. Step 4: Simplify right side
    554.89x = 423,858.41
  5. Step 5: Solve for x
    x = 423,858.41/554.89
  6. Step 6: Final answer
    x = 763.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.