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Finding the Fourth Proportional to 723.74, 998.43 and 425.00

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Solution

The fourth proportional to 723.74, 998.43 and 425.00 is: 586.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.74 : 998.43 = 425.00 : x
  2. Step 2: Convert to fraction form
    723.74/998.43 = 425.00/x
  3. Step 3: Cross multiply
    723.74x = 998.43 × 425.00
  4. Step 4: Simplify right side
    723.74x = 424,327.76
  5. Step 5: Solve for x
    x = 424,327.76/723.74
  6. Step 6: Final answer
    x = 586.30

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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.