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Finding the Fourth Proportional to 587.44, 810.30 and 470.80

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Solution

The fourth proportional to 587.44, 810.30 and 470.80 is: 649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.44 : 810.30 = 470.80 : x
  2. Step 2: Convert to fraction form
    587.44/810.30 = 470.80/x
  3. Step 3: Cross multiply
    587.44x = 810.30 × 470.80
  4. Step 4: Simplify right side
    587.44x = 381,489.24
  5. Step 5: Solve for x
    x = 381,489.24/587.44
  6. Step 6: Final answer
    x = 649.41

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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.