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Finding the Fourth Proportional to 500.47, 692.17 and 447.93

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Solution

The fourth proportional to 500.47, 692.17 and 447.93 is: 619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.47 : 692.17 = 447.93 : x
  2. Step 2: Convert to fraction form
    500.47/692.17 = 447.93/x
  3. Step 3: Cross multiply
    500.47x = 692.17 × 447.93
  4. Step 4: Simplify right side
    500.47x = 310,042.59
  5. Step 5: Solve for x
    x = 310,042.59/500.47
  6. Step 6: Final answer
    x = 619.51

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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.