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Finding the Fourth Proportional to 505.01, 692.25 and 496.51

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Solution

The fourth proportional to 505.01, 692.25 and 496.51 is: 680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.01 : 692.25 = 496.51 : x
  2. Step 2: Convert to fraction form
    505.01/692.25 = 496.51/x
  3. Step 3: Cross multiply
    505.01x = 692.25 × 496.51
  4. Step 4: Simplify right side
    505.01x = 343,709.05
  5. Step 5: Solve for x
    x = 343,709.05/505.01
  6. Step 6: Final answer
    x = 680.60

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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.