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Finding the Fourth Proportional to 495.56, 737.72 and 490.08

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Solution

The fourth proportional to 495.56, 737.72 and 490.08 is: 729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.56 : 737.72 = 490.08 : x
  2. Step 2: Convert to fraction form
    495.56/737.72 = 490.08/x
  3. Step 3: Cross multiply
    495.56x = 737.72 × 490.08
  4. Step 4: Simplify right side
    495.56x = 361,541.82
  5. Step 5: Solve for x
    x = 361,541.82/495.56
  6. Step 6: Final answer
    x = 729.56

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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.