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Finding the Fourth Proportional to 723.13, 997.45 and 428.18

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Solution

The fourth proportional to 723.13, 997.45 and 428.18 is: 590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.13 : 997.45 = 428.18 : x
  2. Step 2: Convert to fraction form
    723.13/997.45 = 428.18/x
  3. Step 3: Cross multiply
    723.13x = 997.45 × 428.18
  4. Step 4: Simplify right side
    723.13x = 427,088.14
  5. Step 5: Solve for x
    x = 427,088.14/723.13
  6. Step 6: Final answer
    x = 590.61

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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.