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Finding the Fourth Proportional to 738.93, 1,019.56 and 428.25

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Solution

The fourth proportional to 738.93, 1,019.56 and 428.25 is: 590.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.93 : 1,019.56 = 428.25 : x
  2. Step 2: Convert to fraction form
    738.93/1,019.56 = 428.25/x
  3. Step 3: Cross multiply
    738.93x = 1,019.56 × 428.25
  4. Step 4: Simplify right side
    738.93x = 436,626.57
  5. Step 5: Solve for x
    x = 436,626.57/738.93
  6. Step 6: Final answer
    x = 590.89

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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.