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Finding the Fourth Proportional to 620.52, 934.40 and 459.34

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Solution

The fourth proportional to 620.52, 934.40 and 459.34 is: 691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.52 : 934.40 = 459.34 : x
  2. Step 2: Convert to fraction form
    620.52/934.40 = 459.34/x
  3. Step 3: Cross multiply
    620.52x = 934.40 × 459.34
  4. Step 4: Simplify right side
    620.52x = 429,207.30
  5. Step 5: Solve for x
    x = 429,207.30/620.52
  6. Step 6: Final answer
    x = 691.69

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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.