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Finding the Fourth Proportional to 507.64, 757.16 and 446.08

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Solution

The fourth proportional to 507.64, 757.16 and 446.08 is: 665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.64 : 757.16 = 446.08 : x
  2. Step 2: Convert to fraction form
    507.64/757.16 = 446.08/x
  3. Step 3: Cross multiply
    507.64x = 757.16 × 446.08
  4. Step 4: Simplify right side
    507.64x = 337,753.93
  5. Step 5: Solve for x
    x = 337,753.93/507.64
  6. Step 6: Final answer
    x = 665.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.