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Finding the Fourth Proportional to 587.20, 809.58 and 412.78

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Solution

The fourth proportional to 587.20, 809.58 and 412.78 is: 569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.20 : 809.58 = 412.78 : x
  2. Step 2: Convert to fraction form
    587.20/809.58 = 412.78/x
  3. Step 3: Cross multiply
    587.20x = 809.58 × 412.78
  4. Step 4: Simplify right side
    587.20x = 334,178.43
  5. Step 5: Solve for x
    x = 334,178.43/587.20
  6. Step 6: Final answer
    x = 569.10

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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.