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Finding the Fourth Proportional to 587.43, 810.72 and 447.30

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Solution

The fourth proportional to 587.43, 810.72 and 447.30 is: 617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.43 : 810.72 = 447.30 : x
  2. Step 2: Convert to fraction form
    587.43/810.72 = 447.30/x
  3. Step 3: Cross multiply
    587.43x = 810.72 × 447.30
  4. Step 4: Simplify right side
    587.43x = 362,635.06
  5. Step 5: Solve for x
    x = 362,635.06/587.43
  6. Step 6: Final answer
    x = 617.32

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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.