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Finding the Fourth Proportional to 579.71, 870.15 and 514.25

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Solution

The fourth proportional to 579.71, 870.15 and 514.25 is: 771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.71 : 870.15 = 514.25 : x
  2. Step 2: Convert to fraction form
    579.71/870.15 = 514.25/x
  3. Step 3: Cross multiply
    579.71x = 870.15 × 514.25
  4. Step 4: Simplify right side
    579.71x = 447,474.64
  5. Step 5: Solve for x
    x = 447,474.64/579.71
  6. Step 6: Final answer
    x = 771.89

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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.