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Finding the Fourth Proportional to 494.94, 738.86 and 430.14

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Solution

The fourth proportional to 494.94, 738.86 and 430.14 is: 642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.94 : 738.86 = 430.14 : x
  2. Step 2: Convert to fraction form
    494.94/738.86 = 430.14/x
  3. Step 3: Cross multiply
    494.94x = 738.86 × 430.14
  4. Step 4: Simplify right side
    494.94x = 317,811.09
  5. Step 5: Solve for x
    x = 317,811.09/494.94
  6. Step 6: Final answer
    x = 642.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.