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Finding the Fourth Proportional to 777.98, 1,166.70 and 431.84

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Solution

The fourth proportional to 777.98, 1,166.70 and 431.84 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.98 : 1,166.70 = 431.84 : x
  2. Step 2: Convert to fraction form
    777.98/1,166.70 = 431.84/x
  3. Step 3: Cross multiply
    777.98x = 1,166.70 × 431.84
  4. Step 4: Simplify right side
    777.98x = 503,827.73
  5. Step 5: Solve for x
    x = 503,827.73/777.98
  6. Step 6: Final answer
    x = 647.61

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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.