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Finding the Fourth Proportional to 554.30, 764.84 and 318.24

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Solution

The fourth proportional to 554.30, 764.84 and 318.24 is: 439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.30 : 764.84 = 318.24 : x
  2. Step 2: Convert to fraction form
    554.30/764.84 = 318.24/x
  3. Step 3: Cross multiply
    554.30x = 764.84 × 318.24
  4. Step 4: Simplify right side
    554.30x = 243,402.68
  5. Step 5: Solve for x
    x = 243,402.68/554.30
  6. Step 6: Final answer
    x = 439.12

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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.