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Finding the Fourth Proportional to 580.94, 870.71 and 406.66

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Solution

The fourth proportional to 580.94, 870.71 and 406.66 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.94 : 870.71 = 406.66 : x
  2. Step 2: Convert to fraction form
    580.94/870.71 = 406.66/x
  3. Step 3: Cross multiply
    580.94x = 870.71 × 406.66
  4. Step 4: Simplify right side
    580.94x = 354,078.72
  5. Step 5: Solve for x
    x = 354,078.72/580.94
  6. Step 6: Final answer
    x = 609.49

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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.