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Finding the Fourth Proportional to 410.29, 615.46 and 393.33

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Solution

The fourth proportional to 410.29, 615.46 and 393.33 is: 590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.29 : 615.46 = 393.33 : x
  2. Step 2: Convert to fraction form
    410.29/615.46 = 393.33/x
  3. Step 3: Cross multiply
    410.29x = 615.46 × 393.33
  4. Step 4: Simplify right side
    410.29x = 242,076.92
  5. Step 5: Solve for x
    x = 242,076.92/410.29
  6. Step 6: Final answer
    x = 590.01

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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.