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Finding the Fourth Proportional to 507.60, 698.40 and 475.20

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Solution

The fourth proportional to 507.60, 698.40 and 475.20 is: 653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 698.40 = 475.20 : x
  2. Step 2: Convert to fraction form
    507.60/698.40 = 475.20/x
  3. Step 3: Cross multiply
    507.60x = 698.40 × 475.20
  4. Step 4: Simplify right side
    507.60x = 331,879.68
  5. Step 5: Solve for x
    x = 331,879.68/507.60
  6. Step 6: Final answer
    x = 653.82

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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.