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Finding the Fourth Proportional to 778.05, 1,165.80 and 430.53

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Solution

The fourth proportional to 778.05, 1,165.80 and 430.53 is: 645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.05 : 1,165.80 = 430.53 : x
  2. Step 2: Convert to fraction form
    778.05/1,165.80 = 430.53/x
  3. Step 3: Cross multiply
    778.05x = 1,165.80 × 430.53
  4. Step 4: Simplify right side
    778.05x = 501,911.87
  5. Step 5: Solve for x
    x = 501,911.87/778.05
  6. Step 6: Final answer
    x = 645.09

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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.