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Finding the Fourth Proportional to 499.80, 746.43 and 435

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Solution

The fourth proportional to 499.80, 746.43 and 435 is: 649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.80 : 746.43 = 435 : x
  2. Step 2: Convert to fraction form
    499.80/746.43 = 435/x
  3. Step 3: Cross multiply
    499.80x = 746.43 × 435
  4. Step 4: Simplify right side
    499.80x = 324,697.05
  5. Step 5: Solve for x
    x = 324,697.05/499.80
  6. Step 6: Final answer
    x = 649.65

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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.