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Finding the Fourth Proportional to 411.63, 568.65 and 328.64

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Solution

The fourth proportional to 411.63, 568.65 and 328.64 is: 454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.63 : 568.65 = 328.64 : x
  2. Step 2: Convert to fraction form
    411.63/568.65 = 328.64/x
  3. Step 3: Cross multiply
    411.63x = 568.65 × 328.64
  4. Step 4: Simplify right side
    411.63x = 186,878.29
  5. Step 5: Solve for x
    x = 186,878.29/411.63
  6. Step 6: Final answer
    x = 454.00

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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.