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Finding the Fourth Proportional to 742.65, 1,024.73 and 443.79

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Solution

The fourth proportional to 742.65, 1,024.73 and 443.79 is: 612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.65 : 1,024.73 = 443.79 : x
  2. Step 2: Convert to fraction form
    742.65/1,024.73 = 443.79/x
  3. Step 3: Cross multiply
    742.65x = 1,024.73 × 443.79
  4. Step 4: Simplify right side
    742.65x = 454,762.71
  5. Step 5: Solve for x
    x = 454,762.71/742.65
  6. Step 6: Final answer
    x = 612.35

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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.