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Finding the Fourth Proportional to 738.40, 1,107.32 and 426

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Solution

The fourth proportional to 738.40, 1,107.32 and 426 is: 638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.40 : 1,107.32 = 426 : x
  2. Step 2: Convert to fraction form
    738.40/1,107.32 = 426/x
  3. Step 3: Cross multiply
    738.40x = 1,107.32 × 426
  4. Step 4: Simplify right side
    738.40x = 471,718.32
  5. Step 5: Solve for x
    x = 471,718.32/738.40
  6. Step 6: Final answer
    x = 638.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.