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Finding the Fourth Proportional to 580.77, 869.54 and 426.06

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Solution

The fourth proportional to 580.77, 869.54 and 426.06 is: 637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.77 : 869.54 = 426.06 : x
  2. Step 2: Convert to fraction form
    580.77/869.54 = 426.06/x
  3. Step 3: Cross multiply
    580.77x = 869.54 × 426.06
  4. Step 4: Simplify right side
    580.77x = 370,474.08
  5. Step 5: Solve for x
    x = 370,474.08/580.77
  6. Step 6: Final answer
    x = 637.90

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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.