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Finding the Fourth Proportional to 623.61, 934.35 and 440.11

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Solution

The fourth proportional to 623.61, 934.35 and 440.11 is: 659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.61 : 934.35 = 440.11 : x
  2. Step 2: Convert to fraction form
    623.61/934.35 = 440.11/x
  3. Step 3: Cross multiply
    623.61x = 934.35 × 440.11
  4. Step 4: Simplify right side
    623.61x = 411,216.78
  5. Step 5: Solve for x
    x = 411,216.78/623.61
  6. Step 6: Final answer
    x = 659.41

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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.