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Finding the Fourth Proportional to 492, 678.33 and 403.16

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Solution

The fourth proportional to 492, 678.33 and 403.16 is: 555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 678.33 = 403.16 : x
  2. Step 2: Convert to fraction form
    492/678.33 = 403.16/x
  3. Step 3: Cross multiply
    492x = 678.33 × 403.16
  4. Step 4: Simplify right side
    492x = 273,475.52
  5. Step 5: Solve for x
    x = 273,475.52/492
  6. Step 6: Final answer
    x = 555.84

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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.