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Finding the Fourth Proportional to 478.17, 659.83 and 328.93

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Solution

The fourth proportional to 478.17, 659.83 and 328.93 is: 453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.17 : 659.83 = 328.93 : x
  2. Step 2: Convert to fraction form
    478.17/659.83 = 328.93/x
  3. Step 3: Cross multiply
    478.17x = 659.83 × 328.93
  4. Step 4: Simplify right side
    478.17x = 217,037.88
  5. Step 5: Solve for x
    x = 217,037.88/478.17
  6. Step 6: Final answer
    x = 453.89

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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.