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Finding the Fourth Proportional to 580.15, 799.98 and 414.30

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Solution

The fourth proportional to 580.15, 799.98 and 414.30 is: 571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.15 : 799.98 = 414.30 : x
  2. Step 2: Convert to fraction form
    580.15/799.98 = 414.30/x
  3. Step 3: Cross multiply
    580.15x = 799.98 × 414.30
  4. Step 4: Simplify right side
    580.15x = 331,427.71
  5. Step 5: Solve for x
    x = 331,427.71/580.15
  6. Step 6: Final answer
    x = 571.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.