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Finding the Fourth Proportional to 541.62, 747.18 and 520.67

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Solution

The fourth proportional to 541.62, 747.18 and 520.67 is: 718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.62 : 747.18 = 520.67 : x
  2. Step 2: Convert to fraction form
    541.62/747.18 = 520.67/x
  3. Step 3: Cross multiply
    541.62x = 747.18 × 520.67
  4. Step 4: Simplify right side
    541.62x = 389,030.47
  5. Step 5: Solve for x
    x = 389,030.47/541.62
  6. Step 6: Final answer
    x = 718.27

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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.