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Finding the Fourth Proportional to 738.91, 1,019.67 and 407.31

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Solution

The fourth proportional to 738.91, 1,019.67 and 407.31 is: 562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.91 : 1,019.67 = 407.31 : x
  2. Step 2: Convert to fraction form
    738.91/1,019.67 = 407.31/x
  3. Step 3: Cross multiply
    738.91x = 1,019.67 × 407.31
  4. Step 4: Simplify right side
    738.91x = 415,321.79
  5. Step 5: Solve for x
    x = 415,321.79/738.91
  6. Step 6: Final answer
    x = 562.07

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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.