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Finding the Fourth Proportional to 520.57, 714.62 and 446.76

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Solution

The fourth proportional to 520.57, 714.62 and 446.76 is: 613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.57 : 714.62 = 446.76 : x
  2. Step 2: Convert to fraction form
    520.57/714.62 = 446.76/x
  3. Step 3: Cross multiply
    520.57x = 714.62 × 446.76
  4. Step 4: Simplify right side
    520.57x = 319,262.96
  5. Step 5: Solve for x
    x = 319,262.96/520.57
  6. Step 6: Final answer
    x = 613.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.