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Finding the Fourth Proportional to 646.13, 890.72 and 459.55

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Solution

The fourth proportional to 646.13, 890.72 and 459.55 is: 633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.13 : 890.72 = 459.55 : x
  2. Step 2: Convert to fraction form
    646.13/890.72 = 459.55/x
  3. Step 3: Cross multiply
    646.13x = 890.72 × 459.55
  4. Step 4: Simplify right side
    646.13x = 409,329.70
  5. Step 5: Solve for x
    x = 409,329.70/646.13
  6. Step 6: Final answer
    x = 633.51

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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.