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Finding the Fourth Proportional to 512.03, 767.90 and 430.29

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Solution

The fourth proportional to 512.03, 767.90 and 430.29 is: 645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.03 : 767.90 = 430.29 : x
  2. Step 2: Convert to fraction form
    512.03/767.90 = 430.29/x
  3. Step 3: Cross multiply
    512.03x = 767.90 × 430.29
  4. Step 4: Simplify right side
    512.03x = 330,417.54
  5. Step 5: Solve for x
    x = 330,417.54/512.03
  6. Step 6: Final answer
    x = 645.32

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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.