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Finding the Fourth Proportional to 515.51, 772.76 and 342.23

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Solution

The fourth proportional to 515.51, 772.76 and 342.23 is: 513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.51 : 772.76 = 342.23 : x
  2. Step 2: Convert to fraction form
    515.51/772.76 = 342.23/x
  3. Step 3: Cross multiply
    515.51x = 772.76 × 342.23
  4. Step 4: Simplify right side
    515.51x = 264,461.65
  5. Step 5: Solve for x
    x = 264,461.65/515.51
  6. Step 6: Final answer
    x = 513.01

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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.