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Finding the Fourth Proportional to 503.72, 692.16 and 410.24

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Solution

The fourth proportional to 503.72, 692.16 and 410.24 is: 563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.72 : 692.16 = 410.24 : x
  2. Step 2: Convert to fraction form
    503.72/692.16 = 410.24/x
  3. Step 3: Cross multiply
    503.72x = 692.16 × 410.24
  4. Step 4: Simplify right side
    503.72x = 283,951.72
  5. Step 5: Solve for x
    x = 283,951.72/503.72
  6. Step 6: Final answer
    x = 563.71

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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.