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Finding the Fourth Proportional to 501.82, 692.38 and 312.92

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Solution

The fourth proportional to 501.82, 692.38 and 312.92 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.82 : 692.38 = 312.92 : x
  2. Step 2: Convert to fraction form
    501.82/692.38 = 312.92/x
  3. Step 3: Cross multiply
    501.82x = 692.38 × 312.92
  4. Step 4: Simplify right side
    501.82x = 216,656.09
  5. Step 5: Solve for x
    x = 216,656.09/501.82
  6. Step 6: Final answer
    x = 431.74

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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.