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Finding the Fourth Proportional to 579.32, 799.54 and 346.52

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Solution

The fourth proportional to 579.32, 799.54 and 346.52 is: 478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.32 : 799.54 = 346.52 : x
  2. Step 2: Convert to fraction form
    579.32/799.54 = 346.52/x
  3. Step 3: Cross multiply
    579.32x = 799.54 × 346.52
  4. Step 4: Simplify right side
    579.32x = 277,056.60
  5. Step 5: Solve for x
    x = 277,056.60/579.32
  6. Step 6: Final answer
    x = 478.24

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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.