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Finding the Fourth Proportional to 579.70, 801 and 456.34

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Solution

The fourth proportional to 579.70, 801 and 456.34 is: 630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.70 : 801 = 456.34 : x
  2. Step 2: Convert to fraction form
    579.70/801 = 456.34/x
  3. Step 3: Cross multiply
    579.70x = 801 × 456.34
  4. Step 4: Simplify right side
    579.70x = 365,528.34
  5. Step 5: Solve for x
    x = 365,528.34/579.70
  6. Step 6: Final answer
    x = 630.55

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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.