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Finding the Fourth Proportional to 508, 757.76 and 431.32

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Solution

The fourth proportional to 508, 757.76 and 431.32 is: 643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    508 : 757.76 = 431.32 : x
  2. Step 2: Convert to fraction form
    508/757.76 = 431.32/x
  3. Step 3: Cross multiply
    508x = 757.76 × 431.32
  4. Step 4: Simplify right side
    508x = 326,837.04
  5. Step 5: Solve for x
    x = 326,837.04/508
  6. Step 6: Final answer
    x = 643.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.