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Finding the Fourth Proportional to 622.98, 934.50 and 458.64

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Solution

The fourth proportional to 622.98, 934.50 and 458.64 is: 687.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.98 : 934.50 = 458.64 : x
  2. Step 2: Convert to fraction form
    622.98/934.50 = 458.64/x
  3. Step 3: Cross multiply
    622.98x = 934.50 × 458.64
  4. Step 4: Simplify right side
    622.98x = 428,599.08
  5. Step 5: Solve for x
    x = 428,599.08/622.98
  6. Step 6: Final answer
    x = 687.98

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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.