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Finding the Fourth Proportional to 507.30, 698.26 and 423.46

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Solution

The fourth proportional to 507.30, 698.26 and 423.46 is: 582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.30 : 698.26 = 423.46 : x
  2. Step 2: Convert to fraction form
    507.30/698.26 = 423.46/x
  3. Step 3: Cross multiply
    507.30x = 698.26 × 423.46
  4. Step 4: Simplify right side
    507.30x = 295,683.06
  5. Step 5: Solve for x
    x = 295,683.06/507.30
  6. Step 6: Final answer
    x = 582.86

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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.