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Finding the Fourth Proportional to 540.66, 747.25 and 520.18

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Solution

The fourth proportional to 540.66, 747.25 and 520.18 is: 718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.66 : 747.25 = 520.18 : x
  2. Step 2: Convert to fraction form
    540.66/747.25 = 520.18/x
  3. Step 3: Cross multiply
    540.66x = 747.25 × 520.18
  4. Step 4: Simplify right side
    540.66x = 388,704.51
  5. Step 5: Solve for x
    x = 388,704.51/540.66
  6. Step 6: Final answer
    x = 718.94

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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.