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Finding the Fourth Proportional to 579.91, 870.23 and 306.19

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Solution

The fourth proportional to 579.91, 870.23 and 306.19 is: 459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.91 : 870.23 = 306.19 : x
  2. Step 2: Convert to fraction form
    579.91/870.23 = 306.19/x
  3. Step 3: Cross multiply
    579.91x = 870.23 × 306.19
  4. Step 4: Simplify right side
    579.91x = 266,455.72
  5. Step 5: Solve for x
    x = 266,455.72/579.91
  6. Step 6: Final answer
    x = 459.48

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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.