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Finding the Fourth Proportional to 426.54, 635.76 and 403.02

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Solution

The fourth proportional to 426.54, 635.76 and 403.02 is: 600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.54 : 635.76 = 403.02 : x
  2. Step 2: Convert to fraction form
    426.54/635.76 = 403.02/x
  3. Step 3: Cross multiply
    426.54x = 635.76 × 403.02
  4. Step 4: Simplify right side
    426.54x = 256,224.00
  5. Step 5: Solve for x
    x = 256,224.00/426.54
  6. Step 6: Final answer
    x = 600.70

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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.