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Finding the Fourth Proportional to 507.90, 699.92 and 419.08

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Solution

The fourth proportional to 507.90, 699.92 and 419.08 is: 577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.90 : 699.92 = 419.08 : x
  2. Step 2: Convert to fraction form
    507.90/699.92 = 419.08/x
  3. Step 3: Cross multiply
    507.90x = 699.92 × 419.08
  4. Step 4: Simplify right side
    507.90x = 293,322.47
  5. Step 5: Solve for x
    x = 293,322.47/507.90
  6. Step 6: Final answer
    x = 577.52

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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.