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Finding the Fourth Proportional to 554.70, 764.56 and 407.28

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Solution

The fourth proportional to 554.70, 764.56 and 407.28 is: 561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.70 : 764.56 = 407.28 : x
  2. Step 2: Convert to fraction form
    554.70/764.56 = 407.28/x
  3. Step 3: Cross multiply
    554.70x = 764.56 × 407.28
  4. Step 4: Simplify right side
    554.70x = 311,390.00
  5. Step 5: Solve for x
    x = 311,390.00/554.70
  6. Step 6: Final answer
    x = 561.37

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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.