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Finding the Fourth Proportional to 540.66, 751.17 and 534.18

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Solution

The fourth proportional to 540.66, 751.17 and 534.18 is: 742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.66 : 751.17 = 534.18 : x
  2. Step 2: Convert to fraction form
    540.66/751.17 = 534.18/x
  3. Step 3: Cross multiply
    540.66x = 751.17 × 534.18
  4. Step 4: Simplify right side
    540.66x = 401,259.99
  5. Step 5: Solve for x
    x = 401,259.99/540.66
  6. Step 6: Final answer
    x = 742.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.