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Finding the Fourth Proportional to 506.07, 696.81 and 432.21

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Solution

The fourth proportional to 506.07, 696.81 and 432.21 is: 595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.07 : 696.81 = 432.21 : x
  2. Step 2: Convert to fraction form
    506.07/696.81 = 432.21/x
  3. Step 3: Cross multiply
    506.07x = 696.81 × 432.21
  4. Step 4: Simplify right side
    506.07x = 301,168.25
  5. Step 5: Solve for x
    x = 301,168.25/506.07
  6. Step 6: Final answer
    x = 595.11

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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.