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Finding the Fourth Proportional to 460.25, 690.61 and 339.06

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Solution

The fourth proportional to 460.25, 690.61 and 339.06 is: 508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.25 : 690.61 = 339.06 : x
  2. Step 2: Convert to fraction form
    460.25/690.61 = 339.06/x
  3. Step 3: Cross multiply
    460.25x = 690.61 × 339.06
  4. Step 4: Simplify right side
    460.25x = 234,158.23
  5. Step 5: Solve for x
    x = 234,158.23/460.25
  6. Step 6: Final answer
    x = 508.76

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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.