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Finding the Fourth Proportional to 507.12, 698.64 and 419.52

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Solution

The fourth proportional to 507.12, 698.64 and 419.52 is: 577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 698.64 = 419.52 : x
  2. Step 2: Convert to fraction form
    507.12/698.64 = 419.52/x
  3. Step 3: Cross multiply
    507.12x = 698.64 × 419.52
  4. Step 4: Simplify right side
    507.12x = 293,093.45
  5. Step 5: Solve for x
    x = 293,093.45/507.12
  6. Step 6: Final answer
    x = 577.96

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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.