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Finding the Fourth Proportional to 469.53, 646.11 and 455.91

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Solution

The fourth proportional to 469.53, 646.11 and 455.91 is: 627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.53 : 646.11 = 455.91 : x
  2. Step 2: Convert to fraction form
    469.53/646.11 = 455.91/x
  3. Step 3: Cross multiply
    469.53x = 646.11 × 455.91
  4. Step 4: Simplify right side
    469.53x = 294,568.01
  5. Step 5: Solve for x
    x = 294,568.01/469.53
  6. Step 6: Final answer
    x = 627.37

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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.