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Finding the Fourth Proportional to 723.58, 997.62 and 474.47

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Solution

The fourth proportional to 723.58, 997.62 and 474.47 is: 654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.58 : 997.62 = 474.47 : x
  2. Step 2: Convert to fraction form
    723.58/997.62 = 474.47/x
  3. Step 3: Cross multiply
    723.58x = 997.62 × 474.47
  4. Step 4: Simplify right side
    723.58x = 473,334.93
  5. Step 5: Solve for x
    x = 473,334.93/723.58
  6. Step 6: Final answer
    x = 654.15

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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.