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Finding the Fourth Proportional to 723.02, 997.65 and 460.98

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Solution

The fourth proportional to 723.02, 997.65 and 460.98 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.02 : 997.65 = 460.98 : x
  2. Step 2: Convert to fraction form
    723.02/997.65 = 460.98/x
  3. Step 3: Cross multiply
    723.02x = 997.65 × 460.98
  4. Step 4: Simplify right side
    723.02x = 459,896.70
  5. Step 5: Solve for x
    x = 459,896.70/723.02
  6. Step 6: Final answer
    x = 636.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.