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Finding the Fourth Proportional to 580.32, 799.68 and 405.12

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Solution

The fourth proportional to 580.32, 799.68 and 405.12 is: 558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.32 : 799.68 = 405.12 : x
  2. Step 2: Convert to fraction form
    580.32/799.68 = 405.12/x
  3. Step 3: Cross multiply
    580.32x = 799.68 × 405.12
  4. Step 4: Simplify right side
    580.32x = 323,966.36
  5. Step 5: Solve for x
    x = 323,966.36/580.32
  6. Step 6: Final answer
    x = 558.25

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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.