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Finding the Fourth Proportional to 509.06, 760.12 and 411.86

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Solution

The fourth proportional to 509.06, 760.12 and 411.86 is: 614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.06 : 760.12 = 411.86 : x
  2. Step 2: Convert to fraction form
    509.06/760.12 = 411.86/x
  3. Step 3: Cross multiply
    509.06x = 760.12 × 411.86
  4. Step 4: Simplify right side
    509.06x = 313,063.02
  5. Step 5: Solve for x
    x = 313,063.02/509.06
  6. Step 6: Final answer
    x = 614.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.