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Finding the Fourth Proportional to 462.03, 692.16 and 345.88

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Solution

The fourth proportional to 462.03, 692.16 and 345.88 is: 518.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.03 : 692.16 = 345.88 : x
  2. Step 2: Convert to fraction form
    462.03/692.16 = 345.88/x
  3. Step 3: Cross multiply
    462.03x = 692.16 × 345.88
  4. Step 4: Simplify right side
    462.03x = 239,404.30
  5. Step 5: Solve for x
    x = 239,404.30/462.03
  6. Step 6: Final answer
    x = 518.16

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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.