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Finding the Fourth Proportional to 502, 692.80 and 460.72

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Solution

The fourth proportional to 502, 692.80 and 460.72 is: 635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    502 : 692.80 = 460.72 : x
  2. Step 2: Convert to fraction form
    502/692.80 = 460.72/x
  3. Step 3: Cross multiply
    502x = 692.80 × 460.72
  4. Step 4: Simplify right side
    502x = 319,186.82
  5. Step 5: Solve for x
    x = 319,186.82/502
  6. Step 6: Final answer
    x = 635.83

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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.