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Finding the Fourth Proportional to 514.48, 706.52 and 440.80

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Solution

The fourth proportional to 514.48, 706.52 and 440.80 is: 605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.48 : 706.52 = 440.80 : x
  2. Step 2: Convert to fraction form
    514.48/706.52 = 440.80/x
  3. Step 3: Cross multiply
    514.48x = 706.52 × 440.80
  4. Step 4: Simplify right side
    514.48x = 311,434.02
  5. Step 5: Solve for x
    x = 311,434.02/514.48
  6. Step 6: Final answer
    x = 605.34

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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.