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Finding the Fourth Proportional to 541.96, 747.45 and 459.25

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Solution

The fourth proportional to 541.96, 747.45 and 459.25 is: 633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.96 : 747.45 = 459.25 : x
  2. Step 2: Convert to fraction form
    541.96/747.45 = 459.25/x
  3. Step 3: Cross multiply
    541.96x = 747.45 × 459.25
  4. Step 4: Simplify right side
    541.96x = 343,266.41
  5. Step 5: Solve for x
    x = 343,266.41/541.96
  6. Step 6: Final answer
    x = 633.38

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Double scale
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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.