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Finding the Fourth Proportional to 515.53, 706.79 and 506.31

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Solution

The fourth proportional to 515.53, 706.79 and 506.31 is: 694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.53 : 706.79 = 506.31 : x
  2. Step 2: Convert to fraction form
    515.53/706.79 = 506.31/x
  3. Step 3: Cross multiply
    515.53x = 706.79 × 506.31
  4. Step 4: Simplify right side
    515.53x = 357,854.84
  5. Step 5: Solve for x
    x = 357,854.84/515.53
  6. Step 6: Final answer
    x = 694.15

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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.