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Finding the Fourth Proportional to 578.89, 865.13 and 470.80

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Solution

The fourth proportional to 578.89, 865.13 and 470.80 is: 703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.89 : 865.13 = 470.80 : x
  2. Step 2: Convert to fraction form
    578.89/865.13 = 470.80/x
  3. Step 3: Cross multiply
    578.89x = 865.13 × 470.80
  4. Step 4: Simplify right side
    578.89x = 407,303.20
  5. Step 5: Solve for x
    x = 407,303.20/578.89
  6. Step 6: Final answer
    x = 703.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.