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Finding the Fourth Proportional to 500.40, 686.14 and 483.01

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Solution

The fourth proportional to 500.40, 686.14 and 483.01 is: 662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.40 : 686.14 = 483.01 : x
  2. Step 2: Convert to fraction form
    500.40/686.14 = 483.01/x
  3. Step 3: Cross multiply
    500.40x = 686.14 × 483.01
  4. Step 4: Simplify right side
    500.40x = 331,409.56
  5. Step 5: Solve for x
    x = 331,409.56/500.40
  6. Step 6: Final answer
    x = 662.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.