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Finding the Fourth Proportional to 518.60, 712.48 and 420.06

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Solution

The fourth proportional to 518.60, 712.48 and 420.06 is: 577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.60 : 712.48 = 420.06 : x
  2. Step 2: Convert to fraction form
    518.60/712.48 = 420.06/x
  3. Step 3: Cross multiply
    518.60x = 712.48 × 420.06
  4. Step 4: Simplify right side
    518.60x = 299,284.35
  5. Step 5: Solve for x
    x = 299,284.35/518.60
  6. Step 6: Final answer
    x = 577.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.