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Finding the Fourth Proportional to 506.79, 699.01 and 465.48

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Solution

The fourth proportional to 506.79, 699.01 and 465.48 is: 642.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.79 : 699.01 = 465.48 : x
  2. Step 2: Convert to fraction form
    506.79/699.01 = 465.48/x
  3. Step 3: Cross multiply
    506.79x = 699.01 × 465.48
  4. Step 4: Simplify right side
    506.79x = 325,375.17
  5. Step 5: Solve for x
    x = 325,375.17/506.79
  6. Step 6: Final answer
    x = 642.03

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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.