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Finding the Fourth Proportional to 500.01, 686.35 and 443.52

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Solution

The fourth proportional to 500.01, 686.35 and 443.52 is: 608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.01 : 686.35 = 443.52 : x
  2. Step 2: Convert to fraction form
    500.01/686.35 = 443.52/x
  3. Step 3: Cross multiply
    500.01x = 686.35 × 443.52
  4. Step 4: Simplify right side
    500.01x = 304,406.27
  5. Step 5: Solve for x
    x = 304,406.27/500.01
  6. Step 6: Final answer
    x = 608.80

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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.