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Finding the Fourth Proportional to 501.79, 692.37 and 362.12

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Solution

The fourth proportional to 501.79, 692.37 and 362.12 is: 499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.79 : 692.37 = 362.12 : x
  2. Step 2: Convert to fraction form
    501.79/692.37 = 362.12/x
  3. Step 3: Cross multiply
    501.79x = 692.37 × 362.12
  4. Step 4: Simplify right side
    501.79x = 250,715.75
  5. Step 5: Solve for x
    x = 250,715.75/501.79
  6. Step 6: Final answer
    x = 499.64

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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.