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Finding the Fourth Proportional to 540.49, 750.77 and 532.11

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Solution

The fourth proportional to 540.49, 750.77 and 532.11 is: 739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.49 : 750.77 = 532.11 : x
  2. Step 2: Convert to fraction form
    540.49/750.77 = 532.11/x
  3. Step 3: Cross multiply
    540.49x = 750.77 × 532.11
  4. Step 4: Simplify right side
    540.49x = 399,492.22
  5. Step 5: Solve for x
    x = 399,492.22/540.49
  6. Step 6: Final answer
    x = 739.14

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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.