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Finding the Fourth Proportional to 579.56, 870.95 and 305.98

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Solution

The fourth proportional to 579.56, 870.95 and 305.98 is: 459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.56 : 870.95 = 305.98 : x
  2. Step 2: Convert to fraction form
    579.56/870.95 = 305.98/x
  3. Step 3: Cross multiply
    579.56x = 870.95 × 305.98
  4. Step 4: Simplify right side
    579.56x = 266,491.87
  5. Step 5: Solve for x
    x = 266,491.87/579.56
  6. Step 6: Final answer
    x = 459.82

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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.