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Finding the Fourth Proportional to 460.91, 690.14 and 337.43

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Solution

The fourth proportional to 460.91, 690.14 and 337.43 is: 505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.91 : 690.14 = 337.43 : x
  2. Step 2: Convert to fraction form
    460.91/690.14 = 337.43/x
  3. Step 3: Cross multiply
    460.91x = 690.14 × 337.43
  4. Step 4: Simplify right side
    460.91x = 232,876.51
  5. Step 5: Solve for x
    x = 232,876.51/460.91
  6. Step 6: Final answer
    x = 505.25

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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.