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Finding the Fourth Proportional to 623.50, 935.52 and 460.42

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Solution

The fourth proportional to 623.50, 935.52 and 460.42 is: 690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.50 : 935.52 = 460.42 : x
  2. Step 2: Convert to fraction form
    623.50/935.52 = 460.42/x
  3. Step 3: Cross multiply
    623.50x = 935.52 × 460.42
  4. Step 4: Simplify right side
    623.50x = 430,732.12
  5. Step 5: Solve for x
    x = 430,732.12/623.50
  6. Step 6: Final answer
    x = 690.83

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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.