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Finding the Fourth Proportional to 580.09, 872.02 and 465.79

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Solution

The fourth proportional to 580.09, 872.02 and 465.79 is: 700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.09 : 872.02 = 465.79 : x
  2. Step 2: Convert to fraction form
    580.09/872.02 = 465.79/x
  3. Step 3: Cross multiply
    580.09x = 872.02 × 465.79
  4. Step 4: Simplify right side
    580.09x = 406,178.20
  5. Step 5: Solve for x
    x = 406,178.20/580.09
  6. Step 6: Final answer
    x = 700.20

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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.