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Finding the Fourth Proportional to 541.49, 810.59 and 459.68

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Solution

The fourth proportional to 541.49, 810.59 and 459.68 is: 688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.49 : 810.59 = 459.68 : x
  2. Step 2: Convert to fraction form
    541.49/810.59 = 459.68/x
  3. Step 3: Cross multiply
    541.49x = 810.59 × 459.68
  4. Step 4: Simplify right side
    541.49x = 372,605.66
  5. Step 5: Solve for x
    x = 372,605.66/541.49
  6. Step 6: Final answer
    x = 688.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.