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Finding the Fourth Proportional to 579.72, 867.87 and 507.72

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Solution

The fourth proportional to 579.72, 867.87 and 507.72 is: 760.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.72 : 867.87 = 507.72 : x
  2. Step 2: Convert to fraction form
    579.72/867.87 = 507.72/x
  3. Step 3: Cross multiply
    579.72x = 867.87 × 507.72
  4. Step 4: Simplify right side
    579.72x = 440,634.96
  5. Step 5: Solve for x
    x = 440,634.96/579.72
  6. Step 6: Final answer
    x = 760.08

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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.