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Finding the Fourth Proportional to 500.10, 690.24 and 287.46

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Solution

The fourth proportional to 500.10, 690.24 and 287.46 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.10 : 690.24 = 287.46 : x
  2. Step 2: Convert to fraction form
    500.10/690.24 = 287.46/x
  3. Step 3: Cross multiply
    500.10x = 690.24 × 287.46
  4. Step 4: Simplify right side
    500.10x = 198,416.39
  5. Step 5: Solve for x
    x = 198,416.39/500.10
  6. Step 6: Final answer
    x = 396.75

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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.