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Finding the Fourth Proportional to 515.22, 776.76 and 434.64

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Solution

The fourth proportional to 515.22, 776.76 and 434.64 is: 655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.22 : 776.76 = 434.64 : x
  2. Step 2: Convert to fraction form
    515.22/776.76 = 434.64/x
  3. Step 3: Cross multiply
    515.22x = 776.76 × 434.64
  4. Step 4: Simplify right side
    515.22x = 337,610.97
  5. Step 5: Solve for x
    x = 337,610.97/515.22
  6. Step 6: Final answer
    x = 655.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.