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Finding the Fourth Proportional to 493.10, 692.50 and 493.10

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Solution

The fourth proportional to 493.10, 692.50 and 493.10 is: 692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.10 : 692.50 = 493.10 : x
  2. Step 2: Convert to fraction form
    493.10/692.50 = 493.10/x
  3. Step 3: Cross multiply
    493.10x = 692.50 × 493.10
  4. Step 4: Simplify right side
    493.10x = 341,471.75
  5. Step 5: Solve for x
    x = 341,471.75/493.10
  6. Step 6: Final answer
    x = 692.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.