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Finding the Fourth Proportional to 554.81, 765.64 and 302.75

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Solution

The fourth proportional to 554.81, 765.64 and 302.75 is: 417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.81 : 765.64 = 302.75 : x
  2. Step 2: Convert to fraction form
    554.81/765.64 = 302.75/x
  3. Step 3: Cross multiply
    554.81x = 765.64 × 302.75
  4. Step 4: Simplify right side
    554.81x = 231,800.00
  5. Step 5: Solve for x
    x = 231,800.00/554.81
  6. Step 6: Final answer
    x = 417.80

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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.