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Finding the Fourth Proportional to 692.47, 1,038.71 and 172.47

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Solution

The fourth proportional to 692.47, 1,038.71 and 172.47 is: 258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.47 : 1,038.71 = 172.47 : x
  2. Step 2: Convert to fraction form
    692.47/1,038.71 = 172.47/x
  3. Step 3: Cross multiply
    692.47x = 1,038.71 × 172.47
  4. Step 4: Simplify right side
    692.47x = 179,146.31
  5. Step 5: Solve for x
    x = 179,146.31/692.47
  6. Step 6: Final answer
    x = 258.71

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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.