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Finding the Fourth Proportional to 580.85, 870.93 and 272.78

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Solution

The fourth proportional to 580.85, 870.93 and 272.78 is: 409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.85 : 870.93 = 272.78 : x
  2. Step 2: Convert to fraction form
    580.85/870.93 = 272.78/x
  3. Step 3: Cross multiply
    580.85x = 870.93 × 272.78
  4. Step 4: Simplify right side
    580.85x = 237,571.20
  5. Step 5: Solve for x
    x = 237,571.20/580.85
  6. Step 6: Final answer
    x = 409.01

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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.