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Finding the Fourth Proportional to 506.13, 697.01 and 455.91

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Solution

The fourth proportional to 506.13, 697.01 and 455.91 is: 627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.13 : 697.01 = 455.91 : x
  2. Step 2: Convert to fraction form
    506.13/697.01 = 455.91/x
  3. Step 3: Cross multiply
    506.13x = 697.01 × 455.91
  4. Step 4: Simplify right side
    506.13x = 317,774.97
  5. Step 5: Solve for x
    x = 317,774.97/506.13
  6. Step 6: Final answer
    x = 627.85

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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.