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Finding the Fourth Proportional to 579.90, 867.98 and 305.60

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Solution

The fourth proportional to 579.90, 867.98 and 305.60 is: 457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.90 : 867.98 = 305.60 : x
  2. Step 2: Convert to fraction form
    579.90/867.98 = 305.60/x
  3. Step 3: Cross multiply
    579.90x = 867.98 × 305.60
  4. Step 4: Simplify right side
    579.90x = 265,254.69
  5. Step 5: Solve for x
    x = 265,254.69/579.90
  6. Step 6: Final answer
    x = 457.41

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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.