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Finding the Fourth Proportional to 777.73, 1,167.12 and 431.32

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Solution

The fourth proportional to 777.73, 1,167.12 and 431.32 is: 647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.73 : 1,167.12 = 431.32 : x
  2. Step 2: Convert to fraction form
    777.73/1,167.12 = 431.32/x
  3. Step 3: Cross multiply
    777.73x = 1,167.12 × 431.32
  4. Step 4: Simplify right side
    777.73x = 503,402.20
  5. Step 5: Solve for x
    x = 503,402.20/777.73
  6. Step 6: Final answer
    x = 647.27

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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.