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Finding the Fourth Proportional to 507.60, 766.80 and 475.20

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Solution

The fourth proportional to 507.60, 766.80 and 475.20 is: 717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 766.80 = 475.20 : x
  2. Step 2: Convert to fraction form
    507.60/766.80 = 475.20/x
  3. Step 3: Cross multiply
    507.60x = 766.80 × 475.20
  4. Step 4: Simplify right side
    507.60x = 364,383.36
  5. Step 5: Solve for x
    x = 364,383.36/507.60
  6. Step 6: Final answer
    x = 717.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.