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Finding the Fourth Proportional to 504.24, 692.13 and 447.74

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Solution

The fourth proportional to 504.24, 692.13 and 447.74 is: 614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.24 : 692.13 = 447.74 : x
  2. Step 2: Convert to fraction form
    504.24/692.13 = 447.74/x
  3. Step 3: Cross multiply
    504.24x = 692.13 × 447.74
  4. Step 4: Simplify right side
    504.24x = 309,890.83
  5. Step 5: Solve for x
    x = 309,890.83/504.24
  6. Step 6: Final answer
    x = 614.57

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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.