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Finding the Fourth Proportional to 580.02, 868.74 and 305.70

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Solution

The fourth proportional to 580.02, 868.74 and 305.70 is: 457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.02 : 868.74 = 305.70 : x
  2. Step 2: Convert to fraction form
    580.02/868.74 = 305.70/x
  3. Step 3: Cross multiply
    580.02x = 868.74 × 305.70
  4. Step 4: Simplify right side
    580.02x = 265,573.82
  5. Step 5: Solve for x
    x = 265,573.82/580.02
  6. Step 6: Final answer
    x = 457.87

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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.