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Finding the Fourth Proportional to 462.25, 692.47 and 346.83

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Solution

The fourth proportional to 462.25, 692.47 and 346.83 is: 519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.25 : 692.47 = 346.83 : x
  2. Step 2: Convert to fraction form
    462.25/692.47 = 346.83/x
  3. Step 3: Cross multiply
    462.25x = 692.47 × 346.83
  4. Step 4: Simplify right side
    462.25x = 240,164.17
  5. Step 5: Solve for x
    x = 240,164.17/462.25
  6. Step 6: Final answer
    x = 519.55

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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.