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Finding the Fourth Proportional to 579.86, 870.60 and 506.60

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Solution

The fourth proportional to 579.86, 870.60 and 506.60 is: 760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.86 : 870.60 = 506.60 : x
  2. Step 2: Convert to fraction form
    579.86/870.60 = 506.60/x
  3. Step 3: Cross multiply
    579.86x = 870.60 × 506.60
  4. Step 4: Simplify right side
    579.86x = 441,045.96
  5. Step 5: Solve for x
    x = 441,045.96/579.86
  6. Step 6: Final answer
    x = 760.61

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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.