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Finding the Fourth Proportional to 502.09, 692.75 and 292.23

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Solution

The fourth proportional to 502.09, 692.75 and 292.23 is: 403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.09 : 692.75 = 292.23 : x
  2. Step 2: Convert to fraction form
    502.09/692.75 = 292.23/x
  3. Step 3: Cross multiply
    502.09x = 692.75 × 292.23
  4. Step 4: Simplify right side
    502.09x = 202,443.06
  5. Step 5: Solve for x
    x = 202,443.06/502.09
  6. Step 6: Final answer
    x = 403.20

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1.5x scale

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.