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Finding the Fourth Proportional to 502.26, 692.52 and 455.64

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Solution

The fourth proportional to 502.26, 692.52 and 455.64 is: 628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.26 : 692.52 = 455.64 : x
  2. Step 2: Convert to fraction form
    502.26/692.52 = 455.64/x
  3. Step 3: Cross multiply
    502.26x = 692.52 × 455.64
  4. Step 4: Simplify right side
    502.26x = 315,539.81
  5. Step 5: Solve for x
    x = 315,539.81/502.26
  6. Step 6: Final answer
    x = 628.24

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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.