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Finding the Fourth Proportional to 692.09, 953.96 and 542.46

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Solution

The fourth proportional to 692.09, 953.96 and 542.46 is: 747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.09 : 953.96 = 542.46 : x
  2. Step 2: Convert to fraction form
    692.09/953.96 = 542.46/x
  3. Step 3: Cross multiply
    692.09x = 953.96 × 542.46
  4. Step 4: Simplify right side
    692.09x = 517,482.43
  5. Step 5: Solve for x
    x = 517,482.43/692.09
  6. Step 6: Final answer
    x = 747.72

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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.