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Finding the Fourth Proportional to 515.75, 772.71 and 342.00

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Solution

The fourth proportional to 515.75, 772.71 and 342.00 is: 512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.75 : 772.71 = 342.00 : x
  2. Step 2: Convert to fraction form
    515.75/772.71 = 342.00/x
  3. Step 3: Cross multiply
    515.75x = 772.71 × 342.00
  4. Step 4: Simplify right side
    515.75x = 264,268.75
  5. Step 5: Solve for x
    x = 264,268.75/515.75
  6. Step 6: Final answer
    x = 512.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.