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Finding the Fourth Proportional to 723.85, 997.86 and 474.74

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Solution

The fourth proportional to 723.85, 997.86 and 474.74 is: 654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.85 : 997.86 = 474.74 : x
  2. Step 2: Convert to fraction form
    723.85/997.86 = 474.74/x
  3. Step 3: Cross multiply
    723.85x = 997.86 × 474.74
  4. Step 4: Simplify right side
    723.85x = 473,719.07
  5. Step 5: Solve for x
    x = 473,719.07/723.85
  6. Step 6: Final answer
    x = 654.45

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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.