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Finding the Fourth Proportional to 738.78, 1,020.09 and 459.42

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Solution

The fourth proportional to 738.78, 1,020.09 and 459.42 is: 634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.78 : 1,020.09 = 459.42 : x
  2. Step 2: Convert to fraction form
    738.78/1,020.09 = 459.42/x
  3. Step 3: Cross multiply
    738.78x = 1,020.09 × 459.42
  4. Step 4: Simplify right side
    738.78x = 468,649.75
  5. Step 5: Solve for x
    x = 468,649.75/738.78
  6. Step 6: Final answer
    x = 634.36

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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.