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Finding the Fourth Proportional to 777.99, 1,165.16 and 430.77

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Solution

The fourth proportional to 777.99, 1,165.16 and 430.77 is: 645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.99 : 1,165.16 = 430.77 : x
  2. Step 2: Convert to fraction form
    777.99/1,165.16 = 430.77/x
  3. Step 3: Cross multiply
    777.99x = 1,165.16 × 430.77
  4. Step 4: Simplify right side
    777.99x = 501,917.05
  5. Step 5: Solve for x
    x = 501,917.05/777.99
  6. Step 6: Final answer
    x = 645.15

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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.