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Finding the Fourth Proportional to 515.77, 716.53 and 510.97

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Solution

The fourth proportional to 515.77, 716.53 and 510.97 is: 709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.77 : 716.53 = 510.97 : x
  2. Step 2: Convert to fraction form
    515.77/716.53 = 510.97/x
  3. Step 3: Cross multiply
    515.77x = 716.53 × 510.97
  4. Step 4: Simplify right side
    515.77x = 366,125.33
  5. Step 5: Solve for x
    x = 366,125.33/515.77
  6. Step 6: Final answer
    x = 709.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.