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Finding the Fourth Proportional to 494.02, 737.51 and 461.08

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Solution

The fourth proportional to 494.02, 737.51 and 461.08 is: 688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 737.51 = 461.08 : x
  2. Step 2: Convert to fraction form
    494.02/737.51 = 461.08/x
  3. Step 3: Cross multiply
    494.02x = 737.51 × 461.08
  4. Step 4: Simplify right side
    494.02x = 340,051.11
  5. Step 5: Solve for x
    x = 340,051.11/494.02
  6. Step 6: Final answer
    x = 688.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.