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Finding the Fourth Proportional to 692.09, 1,038.50 and 307.25

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Solution

The fourth proportional to 692.09, 1,038.50 and 307.25 is: 461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.09 : 1,038.50 = 307.25 : x
  2. Step 2: Convert to fraction form
    692.09/1,038.50 = 307.25/x
  3. Step 3: Cross multiply
    692.09x = 1,038.50 × 307.25
  4. Step 4: Simplify right side
    692.09x = 319,079.13
  5. Step 5: Solve for x
    x = 319,079.13/692.09
  6. Step 6: Final answer
    x = 461.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.