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Finding the Fourth Proportional to 738.64, 1,019.40 and 428.12

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Solution

The fourth proportional to 738.64, 1,019.40 and 428.12 is: 590.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.64 : 1,019.40 = 428.12 : x
  2. Step 2: Convert to fraction form
    738.64/1,019.40 = 428.12/x
  3. Step 3: Cross multiply
    738.64x = 1,019.40 × 428.12
  4. Step 4: Simplify right side
    738.64x = 436,425.53
  5. Step 5: Solve for x
    x = 436,425.53/738.64
  6. Step 6: Final answer
    x = 590.85

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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.