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Finding the Fourth Proportional to 462.34, 692.73 and 364.45

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Solution

The fourth proportional to 462.34, 692.73 and 364.45 is: 546.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.34 : 692.73 = 364.45 : x
  2. Step 2: Convert to fraction form
    462.34/692.73 = 364.45/x
  3. Step 3: Cross multiply
    462.34x = 692.73 × 364.45
  4. Step 4: Simplify right side
    462.34x = 252,465.45
  5. Step 5: Solve for x
    x = 252,465.45/462.34
  6. Step 6: Final answer
    x = 546.06

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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.