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Finding the Fourth Proportional to 507.48, 765.39 and 502.02

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Solution

The fourth proportional to 507.48, 765.39 and 502.02 is: 757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.48 : 765.39 = 502.02 : x
  2. Step 2: Convert to fraction form
    507.48/765.39 = 502.02/x
  3. Step 3: Cross multiply
    507.48x = 765.39 × 502.02
  4. Step 4: Simplify right side
    507.48x = 384,241.09
  5. Step 5: Solve for x
    x = 384,241.09/507.48
  6. Step 6: Final answer
    x = 757.16

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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.