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Finding the Fourth Proportional to 484.19, 729.20 and 430.03

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Solution

The fourth proportional to 484.19, 729.20 and 430.03 is: 647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.19 : 729.20 = 430.03 : x
  2. Step 2: Convert to fraction form
    484.19/729.20 = 430.03/x
  3. Step 3: Cross multiply
    484.19x = 729.20 × 430.03
  4. Step 4: Simplify right side
    484.19x = 313,577.88
  5. Step 5: Solve for x
    x = 313,577.88/484.19
  6. Step 6: Final answer
    x = 647.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.