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Finding the Fourth Proportional to 606.60, 907.74 and 411.62

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Solution

The fourth proportional to 606.60, 907.74 and 411.62 is: 615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.60 : 907.74 = 411.62 : x
  2. Step 2: Convert to fraction form
    606.60/907.74 = 411.62/x
  3. Step 3: Cross multiply
    606.60x = 907.74 × 411.62
  4. Step 4: Simplify right side
    606.60x = 373,639.40
  5. Step 5: Solve for x
    x = 373,639.40/606.60
  6. Step 6: Final answer
    x = 615.96

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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.