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Finding the Fourth Proportional to 521.19, 780.93 and 304.56

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Solution

The fourth proportional to 521.19, 780.93 and 304.56 is: 456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.19 : 780.93 = 304.56 : x
  2. Step 2: Convert to fraction form
    521.19/780.93 = 304.56/x
  3. Step 3: Cross multiply
    521.19x = 780.93 × 304.56
  4. Step 4: Simplify right side
    521.19x = 237,840.04
  5. Step 5: Solve for x
    x = 237,840.04/521.19
  6. Step 6: Final answer
    x = 456.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.