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Finding the Fourth Proportional to 512.56, 767.66 and 402.62

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Solution

The fourth proportional to 512.56, 767.66 and 402.62 is: 603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.56 : 767.66 = 402.62 : x
  2. Step 2: Convert to fraction form
    512.56/767.66 = 402.62/x
  3. Step 3: Cross multiply
    512.56x = 767.66 × 402.62
  4. Step 4: Simplify right side
    512.56x = 309,075.27
  5. Step 5: Solve for x
    x = 309,075.27/512.56
  6. Step 6: Final answer
    x = 603.00

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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.