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Finding the Fourth Proportional to 738.45, 1,106.51 and 430.38

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Solution

The fourth proportional to 738.45, 1,106.51 and 430.38 is: 644.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.45 : 1,106.51 = 430.38 : x
  2. Step 2: Convert to fraction form
    738.45/1,106.51 = 430.38/x
  3. Step 3: Cross multiply
    738.45x = 1,106.51 × 430.38
  4. Step 4: Simplify right side
    738.45x = 476,217.62
  5. Step 5: Solve for x
    x = 476,217.62/738.45
  6. Step 6: Final answer
    x = 644.89

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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.