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Finding the Fourth Proportional to 397.59, 594.95 and 328.47

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Solution

The fourth proportional to 397.59, 594.95 and 328.47 is: 491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.59 : 594.95 = 328.47 : x
  2. Step 2: Convert to fraction form
    397.59/594.95 = 328.47/x
  3. Step 3: Cross multiply
    397.59x = 594.95 × 328.47
  4. Step 4: Simplify right side
    397.59x = 195,421.58
  5. Step 5: Solve for x
    x = 195,421.58/397.59
  6. Step 6: Final answer
    x = 491.52

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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.