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Finding the Fourth Proportional to 777.24, 1,166.00 and 430.43

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Solution

The fourth proportional to 777.24, 1,166.00 and 430.43 is: 645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.24 : 1,166.00 = 430.43 : x
  2. Step 2: Convert to fraction form
    777.24/1,166.00 = 430.43/x
  3. Step 3: Cross multiply
    777.24x = 1,166.00 × 430.43
  4. Step 4: Simplify right side
    777.24x = 501,873.40
  5. Step 5: Solve for x
    x = 501,873.40/777.24
  6. Step 6: Final answer
    x = 645.71

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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.