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Finding the Fourth Proportional to 723.16, 997.96 and 391.58

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Solution

The fourth proportional to 723.16, 997.96 and 391.58 is: 540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.16 : 997.96 = 391.58 : x
  2. Step 2: Convert to fraction form
    723.16/997.96 = 391.58/x
  3. Step 3: Cross multiply
    723.16x = 997.96 × 391.58
  4. Step 4: Simplify right side
    723.16x = 390,782.69
  5. Step 5: Solve for x
    x = 390,782.69/723.16
  6. Step 6: Final answer
    x = 540.38

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1.5x scale

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.