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Finding the Fourth Proportional to 723.72, 998.74 and 424.92

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Solution

The fourth proportional to 723.72, 998.74 and 424.92 is: 586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.72 : 998.74 = 424.92 : x
  2. Step 2: Convert to fraction form
    723.72/998.74 = 424.92/x
  3. Step 3: Cross multiply
    723.72x = 998.74 × 424.92
  4. Step 4: Simplify right side
    723.72x = 424,384.60
  5. Step 5: Solve for x
    x = 424,384.60/723.72
  6. Step 6: Final answer
    x = 586.39

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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.