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Finding the Fourth Proportional to 535.05, 800.45 and 430.09

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Solution

The fourth proportional to 535.05, 800.45 and 430.09 is: 643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.05 : 800.45 = 430.09 : x
  2. Step 2: Convert to fraction form
    535.05/800.45 = 430.09/x
  3. Step 3: Cross multiply
    535.05x = 800.45 × 430.09
  4. Step 4: Simplify right side
    535.05x = 344,263.00
  5. Step 5: Solve for x
    x = 344,263.00/535.05
  6. Step 6: Final answer
    x = 643.42

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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.