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Finding the Fourth Proportional to 515.47, 776.74 and 426.17

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Solution

The fourth proportional to 515.47, 776.74 and 426.17 is: 642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.47 : 776.74 = 426.17 : x
  2. Step 2: Convert to fraction form
    515.47/776.74 = 426.17/x
  3. Step 3: Cross multiply
    515.47x = 776.74 × 426.17
  4. Step 4: Simplify right side
    515.47x = 331,018.34
  5. Step 5: Solve for x
    x = 331,018.34/515.47
  6. Step 6: Final answer
    x = 642.17

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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.