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Finding the Fourth Proportional to 580.21, 874.31 and 479.76

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Solution

The fourth proportional to 580.21, 874.31 and 479.76 is: 722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.21 : 874.31 = 479.76 : x
  2. Step 2: Convert to fraction form
    580.21/874.31 = 479.76/x
  3. Step 3: Cross multiply
    580.21x = 874.31 × 479.76
  4. Step 4: Simplify right side
    580.21x = 419,455.99
  5. Step 5: Solve for x
    x = 419,455.99/580.21
  6. Step 6: Final answer
    x = 722.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.