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Finding the Fourth Proportional to 580.46, 794.62 and 561.84

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Solution

The fourth proportional to 580.46, 794.62 and 561.84 is: 769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.46 : 794.62 = 561.84 : x
  2. Step 2: Convert to fraction form
    580.46/794.62 = 561.84/x
  3. Step 3: Cross multiply
    580.46x = 794.62 × 561.84
  4. Step 4: Simplify right side
    580.46x = 446,449.30
  5. Step 5: Solve for x
    x = 446,449.30/580.46
  6. Step 6: Final answer
    x = 769.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.