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Finding the Fourth Proportional to 460.13, 692.52 and 345.20

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Solution

The fourth proportional to 460.13, 692.52 and 345.20 is: 519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.13 : 692.52 = 345.20 : x
  2. Step 2: Convert to fraction form
    460.13/692.52 = 345.20/x
  3. Step 3: Cross multiply
    460.13x = 692.52 × 345.20
  4. Step 4: Simplify right side
    460.13x = 239,054.44
  5. Step 5: Solve for x
    x = 239,054.44/460.13
  6. Step 6: Final answer
    x = 519.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.