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Finding the Fourth Proportional to 462.53, 692.24 and 389.50

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Solution

The fourth proportional to 462.53, 692.24 and 389.50 is: 582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.53 : 692.24 = 389.50 : x
  2. Step 2: Convert to fraction form
    462.53/692.24 = 389.50/x
  3. Step 3: Cross multiply
    462.53x = 692.24 × 389.50
  4. Step 4: Simplify right side
    462.53x = 269,622.07
  5. Step 5: Solve for x
    x = 269,622.07/462.53
  6. Step 6: Final answer
    x = 582.93

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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.