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Finding the Fourth Proportional to 777.55, 1,166.61 and 431.29

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Solution

The fourth proportional to 777.55, 1,166.61 and 431.29 is: 647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.55 : 1,166.61 = 431.29 : x
  2. Step 2: Convert to fraction form
    777.55/1,166.61 = 431.29/x
  3. Step 3: Cross multiply
    777.55x = 1,166.61 × 431.29
  4. Step 4: Simplify right side
    777.55x = 503,147.23
  5. Step 5: Solve for x
    x = 503,147.23/777.55
  6. Step 6: Final answer
    x = 647.09

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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.