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Finding the Fourth Proportional to 738.49, 1,107.40 and 430.44

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Solution

The fourth proportional to 738.49, 1,107.40 and 430.44 is: 645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.49 : 1,107.40 = 430.44 : x
  2. Step 2: Convert to fraction form
    738.49/1,107.40 = 430.44/x
  3. Step 3: Cross multiply
    738.49x = 1,107.40 × 430.44
  4. Step 4: Simplify right side
    738.49x = 476,669.26
  5. Step 5: Solve for x
    x = 476,669.26/738.49
  6. Step 6: Final answer
    x = 645.46

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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.