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Finding the Fourth Proportional to 508.10, 701.57 and 446.66

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Solution

The fourth proportional to 508.10, 701.57 and 446.66 is: 616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.10 : 701.57 = 446.66 : x
  2. Step 2: Convert to fraction form
    508.10/701.57 = 446.66/x
  3. Step 3: Cross multiply
    508.10x = 701.57 × 446.66
  4. Step 4: Simplify right side
    508.10x = 313,361.02
  5. Step 5: Solve for x
    x = 313,361.02/508.10
  6. Step 6: Final answer
    x = 616.73

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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.