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Finding the Fourth Proportional to 476.64, 652.98 and 459.09

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Solution

The fourth proportional to 476.64, 652.98 and 459.09 is: 628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.64 : 652.98 = 459.09 : x
  2. Step 2: Convert to fraction form
    476.64/652.98 = 459.09/x
  3. Step 3: Cross multiply
    476.64x = 652.98 × 459.09
  4. Step 4: Simplify right side
    476.64x = 299,776.59
  5. Step 5: Solve for x
    x = 299,776.59/476.64
  6. Step 6: Final answer
    x = 628.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.