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Finding the Fourth Proportional to 403.59, 606.32 and 387.20

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Solution

The fourth proportional to 403.59, 606.32 and 387.20 is: 581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.59 : 606.32 = 387.20 : x
  2. Step 2: Convert to fraction form
    403.59/606.32 = 387.20/x
  3. Step 3: Cross multiply
    403.59x = 606.32 × 387.20
  4. Step 4: Simplify right side
    403.59x = 234,762.14
  5. Step 5: Solve for x
    x = 234,762.14/403.59
  6. Step 6: Final answer
    x = 581.68

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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.