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Finding the Fourth Proportional to 623.81, 934.92 and 477.02

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Solution

The fourth proportional to 623.81, 934.92 and 477.02 is: 714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.81 : 934.92 = 477.02 : x
  2. Step 2: Convert to fraction form
    623.81/934.92 = 477.02/x
  3. Step 3: Cross multiply
    623.81x = 934.92 × 477.02
  4. Step 4: Simplify right side
    623.81x = 445,977.88
  5. Step 5: Solve for x
    x = 445,977.88/623.81
  6. Step 6: Final answer
    x = 714.92

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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.