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Finding the Fourth Proportional to 767.95, 1,059.86 and 431.98

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Solution

The fourth proportional to 767.95, 1,059.86 and 431.98 is: 596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.95 : 1,059.86 = 431.98 : x
  2. Step 2: Convert to fraction form
    767.95/1,059.86 = 431.98/x
  3. Step 3: Cross multiply
    767.95x = 1,059.86 × 431.98
  4. Step 4: Simplify right side
    767.95x = 457,836.75
  5. Step 5: Solve for x
    x = 457,836.75/767.95
  6. Step 6: Final answer
    x = 596.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.