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Finding the Fourth Proportional to 773.15, 1,159.98 and 407.84

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Solution

The fourth proportional to 773.15, 1,159.98 and 407.84 is: 611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.15 : 1,159.98 = 407.84 : x
  2. Step 2: Convert to fraction form
    773.15/1,159.98 = 407.84/x
  3. Step 3: Cross multiply
    773.15x = 1,159.98 × 407.84
  4. Step 4: Simplify right side
    773.15x = 473,086.24
  5. Step 5: Solve for x
    x = 473,086.24/773.15
  6. Step 6: Final answer
    x = 611.89

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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.