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Finding the Fourth Proportional to 541.39, 746.85 and 466.57

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Solution

The fourth proportional to 541.39, 746.85 and 466.57 is: 643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.39 : 746.85 = 466.57 : x
  2. Step 2: Convert to fraction form
    541.39/746.85 = 466.57/x
  3. Step 3: Cross multiply
    541.39x = 746.85 × 466.57
  4. Step 4: Simplify right side
    541.39x = 348,457.80
  5. Step 5: Solve for x
    x = 348,457.80/541.39
  6. Step 6: Final answer
    x = 643.64

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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.